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Finding the Fourth Proportional to 5,339.60, 7,987.80 and 4,691.60

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Solution

The fourth proportional to 5,339.60, 7,987.80 and 4,691.60 is: 7,018.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,339.60 : 7,987.80 = 4,691.60 : x
  2. Step 2: Convert to fraction form
    5,339.60/7,987.80 = 4,691.60/x
  3. Step 3: Cross multiply
    5,339.60x = 7,987.80 × 4,691.60
  4. Step 4: Simplify right side
    5,339.60x = 37,475,562.48
  5. Step 5: Solve for x
    x = 37,475,562.48/5,339.60
  6. Step 6: Final answer
    x = 7,018.42

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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.