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Finding the Fourth Proportional to 5,177.56, 7,764.78 and 1,479.52

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Solution

The fourth proportional to 5,177.56, 7,764.78 and 1,479.52 is: 2,218.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.56 : 7,764.78 = 1,479.52 : x
  2. Step 2: Convert to fraction form
    5,177.56/7,764.78 = 1,479.52/x
  3. Step 3: Cross multiply
    5,177.56x = 7,764.78 × 1,479.52
  4. Step 4: Simplify right side
    5,177.56x = 11,488,147.31
  5. Step 5: Solve for x
    x = 11,488,147.31/5,177.56
  6. Step 6: Final answer
    x = 2,218.83

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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.