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Finding the Fourth Proportional to 5,177.44, 7,766.52 and 1,717.12

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Solution

The fourth proportional to 5,177.44, 7,766.52 and 1,717.12 is: 2,575.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.44 : 7,766.52 = 1,717.12 : x
  2. Step 2: Convert to fraction form
    5,177.44/7,766.52 = 1,717.12/x
  3. Step 3: Cross multiply
    5,177.44x = 7,766.52 × 1,717.12
  4. Step 4: Simplify right side
    5,177.44x = 13,336,046.82
  5. Step 5: Solve for x
    x = 13,336,046.82/5,177.44
  6. Step 6: Final answer
    x = 2,575.80

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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.