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Finding the Fourth Proportional to 3,697.46, 5,102.50 and 2,371.16

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Solution

The fourth proportional to 3,697.46, 5,102.50 and 2,371.16 is: 3,272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.46 : 5,102.50 = 2,371.16 : x
  2. Step 2: Convert to fraction form
    3,697.46/5,102.50 = 2,371.16/x
  3. Step 3: Cross multiply
    3,697.46x = 5,102.50 × 2,371.16
  4. Step 4: Simplify right side
    3,697.46x = 12,098,832.04
  5. Step 5: Solve for x
    x = 12,098,832.04/3,697.46
  6. Step 6: Final answer
    x = 3,272.20

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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.