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Finding the Fourth Proportional to 3,660, 5,052.42 and 2,402.88

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Solution

The fourth proportional to 3,660, 5,052.42 and 2,402.88 is: 3,317.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660 : 5,052.42 = 2,402.88 : x
  2. Step 2: Convert to fraction form
    3,660/5,052.42 = 2,402.88/x
  3. Step 3: Cross multiply
    3,660x = 5,052.42 × 2,402.88
  4. Step 4: Simplify right side
    3,660x = 12,140,358.97
  5. Step 5: Solve for x
    x = 12,140,358.97/3,660
  6. Step 6: Final answer
    x = 3,317.04

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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.