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Finding the Fourth Proportional to 6,348.29, 8,761.57 and 3,697.16

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Solution

The fourth proportional to 6,348.29, 8,761.57 and 3,697.16 is: 5,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.29 : 8,761.57 = 3,697.16 : x
  2. Step 2: Convert to fraction form
    6,348.29/8,761.57 = 3,697.16/x
  3. Step 3: Cross multiply
    6,348.29x = 8,761.57 × 3,697.16
  4. Step 4: Simplify right side
    6,348.29x = 32,392,938.80
  5. Step 5: Solve for x
    x = 32,392,938.80/6,348.29
  6. Step 6: Final answer
    x = 5,102.62

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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.