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Finding the Fourth Proportional to 4,213.77, 5,815.00 and 2,350.77

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Solution

The fourth proportional to 4,213.77, 5,815.00 and 2,350.77 is: 3,244.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.77 : 5,815.00 = 2,350.77 : x
  2. Step 2: Convert to fraction form
    4,213.77/5,815.00 = 2,350.77/x
  3. Step 3: Cross multiply
    4,213.77x = 5,815.00 × 2,350.77
  4. Step 4: Simplify right side
    4,213.77x = 13,669,686.72
  5. Step 5: Solve for x
    x = 13,669,686.72/4,213.77
  6. Step 6: Final answer
    x = 3,244.06

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Half scale
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Double scale
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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.