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Finding the Fourth Proportional to 5,817.56, 8,711.75 and 4,591.62

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Solution

The fourth proportional to 5,817.56, 8,711.75 and 4,591.62 is: 6,875.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.56 : 8,711.75 = 4,591.62 : x
  2. Step 2: Convert to fraction form
    5,817.56/8,711.75 = 4,591.62/x
  3. Step 3: Cross multiply
    5,817.56x = 8,711.75 × 4,591.62
  4. Step 4: Simplify right side
    5,817.56x = 40,001,057.01
  5. Step 5: Solve for x
    x = 40,001,057.01/5,817.56
  6. Step 6: Final answer
    x = 6,875.92

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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.