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Finding the Fourth Proportional to 5,154.70, 7,731.19 and 1,456.09

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Solution

The fourth proportional to 5,154.70, 7,731.19 and 1,456.09 is: 2,183.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,154.70 : 7,731.19 = 1,456.09 : x
  2. Step 2: Convert to fraction form
    5,154.70/7,731.19 = 1,456.09/x
  3. Step 3: Cross multiply
    5,154.70x = 7,731.19 × 1,456.09
  4. Step 4: Simplify right side
    5,154.70x = 11,257,273.43
  5. Step 5: Solve for x
    x = 11,257,273.43/5,154.70
  6. Step 6: Final answer
    x = 2,183.89

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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.