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Finding the Fourth Proportional to 3,452.58, 5,177.31 and 986.82

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Solution

The fourth proportional to 3,452.58, 5,177.31 and 986.82 is: 1,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.58 : 5,177.31 = 986.82 : x
  2. Step 2: Convert to fraction form
    3,452.58/5,177.31 = 986.82/x
  3. Step 3: Cross multiply
    3,452.58x = 5,177.31 × 986.82
  4. Step 4: Simplify right side
    3,452.58x = 5,109,073.05
  5. Step 5: Solve for x
    x = 5,109,073.05/3,452.58
  6. Step 6: Final answer
    x = 1,479.78

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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.