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Finding the Fourth Proportional to 3,720.62, 5,131.77 and 3,160.21

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Solution

The fourth proportional to 3,720.62, 5,131.77 and 3,160.21 is: 4,358.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.62 : 5,131.77 = 3,160.21 : x
  2. Step 2: Convert to fraction form
    3,720.62/5,131.77 = 3,160.21/x
  3. Step 3: Cross multiply
    3,720.62x = 5,131.77 × 3,160.21
  4. Step 4: Simplify right side
    3,720.62x = 16,217,470.87
  5. Step 5: Solve for x
    x = 16,217,470.87/3,720.62
  6. Step 6: Final answer
    x = 4,358.81

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