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Finding the Fourth Proportional to 5,727.71, 8,591.78 and 1,779.38

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Solution

The fourth proportional to 5,727.71, 8,591.78 and 1,779.38 is: 2,669.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,727.71 : 8,591.78 = 1,779.38 : x
  2. Step 2: Convert to fraction form
    5,727.71/8,591.78 = 1,779.38/x
  3. Step 3: Cross multiply
    5,727.71x = 8,591.78 × 1,779.38
  4. Step 4: Simplify right side
    5,727.71x = 15,287,989.64
  5. Step 5: Solve for x
    x = 15,287,989.64/5,727.71
  6. Step 6: Final answer
    x = 2,669.13

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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.