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Finding the Fourth Proportional to 6,348.30, 8,761.56 and 3,697.17

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Solution

The fourth proportional to 6,348.30, 8,761.56 and 3,697.17 is: 5,102.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.30 : 8,761.56 = 3,697.17 : x
  2. Step 2: Convert to fraction form
    6,348.30/8,761.56 = 3,697.17/x
  3. Step 3: Cross multiply
    6,348.30x = 8,761.56 × 3,697.17
  4. Step 4: Simplify right side
    6,348.30x = 32,392,976.79
  5. Step 5: Solve for x
    x = 32,392,976.79/6,348.30
  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.