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Finding the Fourth Proportional to 6,348.42, 8,761.73 and 3,697.29

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Solution

The fourth proportional to 6,348.42, 8,761.73 and 3,697.29 is: 5,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,348.42 : 8,761.73 = 3,697.29 : x
  2. Step 2: Convert to fraction form
    6,348.42/8,761.73 = 3,697.29/x
  3. Step 3: Cross multiply
    6,348.42x = 8,761.73 × 3,697.29
  4. Step 4: Simplify right side
    6,348.42x = 32,394,656.71
  5. Step 5: Solve for x
    x = 32,394,656.71/6,348.42
  6. Step 6: Final answer
    x = 5,102.79

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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.