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Finding the Fourth Proportional to 5,140.35, 7,711.02 and 1,442.57

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Solution

The fourth proportional to 5,140.35, 7,711.02 and 1,442.57 is: 2,163.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,140.35 : 7,711.02 = 1,442.57 : x
  2. Step 2: Convert to fraction form
    5,140.35/7,711.02 = 1,442.57/x
  3. Step 3: Cross multiply
    5,140.35x = 7,711.02 × 1,442.57
  4. Step 4: Simplify right side
    5,140.35x = 11,123,686.12
  5. Step 5: Solve for x
    x = 11,123,686.12/5,140.35
  6. Step 6: Final answer
    x = 2,163.99

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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.