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Finding the Fourth Proportional to 3,730.91, 5,142.92 and 3,133.13

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Solution

The fourth proportional to 3,730.91, 5,142.92 and 3,133.13 is: 4,318.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.91 : 5,142.92 = 3,133.13 : x
  2. Step 2: Convert to fraction form
    3,730.91/5,142.92 = 3,133.13/x
  3. Step 3: Cross multiply
    3,730.91x = 5,142.92 × 3,133.13
  4. Step 4: Simplify right side
    3,730.91x = 16,113,395.56
  5. Step 5: Solve for x
    x = 16,113,395.56/3,730.91
  6. Step 6: Final answer
    x = 4,318.90

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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.