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Finding the Fourth Proportional to 4,105, 5,665.10 and 2,336.92

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Solution

The fourth proportional to 4,105, 5,665.10 and 2,336.92 is: 3,225.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105 : 5,665.10 = 2,336.92 : x
  2. Step 2: Convert to fraction form
    4,105/5,665.10 = 2,336.92/x
  3. Step 3: Cross multiply
    4,105x = 5,665.10 × 2,336.92
  4. Step 4: Simplify right side
    4,105x = 13,238,885.49
  5. Step 5: Solve for x
    x = 13,238,885.49/4,105
  6. Step 6: Final answer
    x = 3,225.06

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Half scale
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Double scale
Find fourth proportional to 4,106, 5,666.48 and 2,337.92
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.