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Finding the Fourth Proportional to 6,349.31, 9,524.87 and 2,188.20

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Solution

The fourth proportional to 6,349.31, 9,524.87 and 2,188.20 is: 3,282.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.31 : 9,524.87 = 2,188.20 : x
  2. Step 2: Convert to fraction form
    6,349.31/9,524.87 = 2,188.20/x
  3. Step 3: Cross multiply
    6,349.31x = 9,524.87 × 2,188.20
  4. Step 4: Simplify right side
    6,349.31x = 20,842,320.53
  5. Step 5: Solve for x
    x = 20,842,320.53/6,349.31
  6. Step 6: Final answer
    x = 3,282.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.