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Finding the Fourth Proportional to 5,057.57, 7,586.87 and 1,359.83

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Solution

The fourth proportional to 5,057.57, 7,586.87 and 1,359.83 is: 2,039.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,057.57 : 7,586.87 = 1,359.83 : x
  2. Step 2: Convert to fraction form
    5,057.57/7,586.87 = 1,359.83/x
  3. Step 3: Cross multiply
    5,057.57x = 7,586.87 × 1,359.83
  4. Step 4: Simplify right side
    5,057.57x = 10,316,808.70
  5. Step 5: Solve for x
    x = 10,316,808.70/5,057.57
  6. Step 6: Final answer
    x = 2,039.88

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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.