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Finding the Fourth Proportional to 5,649.14, 8,472.98 and 3,562.86

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Solution

The fourth proportional to 5,649.14, 8,472.98 and 3,562.86 is: 5,343.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.14 : 8,472.98 = 3,562.86 : x
  2. Step 2: Convert to fraction form
    5,649.14/8,472.98 = 3,562.86/x
  3. Step 3: Cross multiply
    5,649.14x = 8,472.98 × 3,562.86
  4. Step 4: Simplify right side
    5,649.14x = 30,188,041.52
  5. Step 5: Solve for x
    x = 30,188,041.52/5,649.14
  6. Step 6: Final answer
    x = 5,343.83

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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.