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Finding the Fourth Proportional to 5,644.48, 8,468.14 and 2,872.66

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Solution

The fourth proportional to 5,644.48, 8,468.14 and 2,872.66 is: 4,309.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,644.48 : 8,468.14 = 2,872.66 : x
  2. Step 2: Convert to fraction form
    5,644.48/8,468.14 = 2,872.66/x
  3. Step 3: Cross multiply
    5,644.48x = 8,468.14 × 2,872.66
  4. Step 4: Simplify right side
    5,644.48x = 24,326,087.05
  5. Step 5: Solve for x
    x = 24,326,087.05/5,644.48
  6. Step 6: Final answer
    x = 4,309.71

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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.