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Finding the Fourth Proportional to 3,452.63, 5,179.13 and 987.82

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Solution

The fourth proportional to 3,452.63, 5,179.13 and 987.82 is: 1,481.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.63 : 5,179.13 = 987.82 : x
  2. Step 2: Convert to fraction form
    3,452.63/5,179.13 = 987.82/x
  3. Step 3: Cross multiply
    3,452.63x = 5,179.13 × 987.82
  4. Step 4: Simplify right side
    3,452.63x = 5,116,030.31
  5. Step 5: Solve for x
    x = 5,116,030.31/3,452.63
  6. Step 6: Final answer
    x = 1,481.78

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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.