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Finding the Fourth Proportional to 3,452.20, 5,178.30 and 987.10

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Solution

The fourth proportional to 3,452.20, 5,178.30 and 987.10 is: 1,480.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.20 : 5,178.30 = 987.10 : x
  2. Step 2: Convert to fraction form
    3,452.20/5,178.30 = 987.10/x
  3. Step 3: Cross multiply
    3,452.20x = 5,178.30 × 987.10
  4. Step 4: Simplify right side
    3,452.20x = 5,111,499.93
  5. Step 5: Solve for x
    x = 5,111,499.93/3,452.20
  6. Step 6: Final answer
    x = 1,480.65

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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.