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Finding the Fourth Proportional to 5,141.72, 7,711.24 and 1,443.80

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Solution

The fourth proportional to 5,141.72, 7,711.24 and 1,443.80 is: 2,165.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.72 : 7,711.24 = 1,443.80 : x
  2. Step 2: Convert to fraction form
    5,141.72/7,711.24 = 1,443.80/x
  3. Step 3: Cross multiply
    5,141.72x = 7,711.24 × 1,443.80
  4. Step 4: Simplify right side
    5,141.72x = 11,133,488.31
  5. Step 5: Solve for x
    x = 11,133,488.31/5,141.72
  6. Step 6: Final answer
    x = 2,165.32

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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.