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Finding the Fourth Proportional to 5,351.60, 8,028.17 and 1,654.16

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Solution

The fourth proportional to 5,351.60, 8,028.17 and 1,654.16 is: 2,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,351.60 : 8,028.17 = 1,654.16 : x
  2. Step 2: Convert to fraction form
    5,351.60/8,028.17 = 1,654.16/x
  3. Step 3: Cross multiply
    5,351.60x = 8,028.17 × 1,654.16
  4. Step 4: Simplify right side
    5,351.60x = 13,279,829.28
  5. Step 5: Solve for x
    x = 13,279,829.28/5,351.60
  6. Step 6: Final answer
    x = 2,481.47

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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.