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Finding the Fourth Proportional to 5,591.85, 8,387.76 and 1,431.86

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Solution

The fourth proportional to 5,591.85, 8,387.76 and 1,431.86 is: 2,147.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,591.85 : 8,387.76 = 1,431.86 : x
  2. Step 2: Convert to fraction form
    5,591.85/8,387.76 = 1,431.86/x
  3. Step 3: Cross multiply
    5,591.85x = 8,387.76 × 1,431.86
  4. Step 4: Simplify right side
    5,591.85x = 12,010,056.09
  5. Step 5: Solve for x
    x = 12,010,056.09/5,591.85
  6. Step 6: Final answer
    x = 2,147.78

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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.