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Finding the Fourth Proportional to 4,105, 5,665.06 and 2,449.96

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Solution

The fourth proportional to 4,105, 5,665.06 and 2,449.96 is: 3,381.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105 : 5,665.06 = 2,449.96 : x
  2. Step 2: Convert to fraction form
    4,105/5,665.06 = 2,449.96/x
  3. Step 3: Cross multiply
    4,105x = 5,665.06 × 2,449.96
  4. Step 4: Simplify right side
    4,105x = 13,879,170.40
  5. Step 5: Solve for x
    x = 13,879,170.40/4,105
  6. Step 6: Final answer
    x = 3,381.04

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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.