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Finding the Fourth Proportional to 3,452.52, 5,178.82 and 987.33

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Solution

The fourth proportional to 3,452.52, 5,178.82 and 987.33 is: 1,481.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.52 : 5,178.82 = 987.33 : x
  2. Step 2: Convert to fraction form
    3,452.52/5,178.82 = 987.33/x
  3. Step 3: Cross multiply
    3,452.52x = 5,178.82 × 987.33
  4. Step 4: Simplify right side
    3,452.52x = 5,113,204.35
  5. Step 5: Solve for x
    x = 5,113,204.35/3,452.52
  6. Step 6: Final answer
    x = 1,481.01

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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.