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Finding the Fourth Proportional to 3,452.11, 5,178.36 and 986.74

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Solution

The fourth proportional to 3,452.11, 5,178.36 and 986.74 is: 1,480.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.11 : 5,178.36 = 986.74 : x
  2. Step 2: Convert to fraction form
    3,452.11/5,178.36 = 986.74/x
  3. Step 3: Cross multiply
    3,452.11x = 5,178.36 × 986.74
  4. Step 4: Simplify right side
    3,452.11x = 5,109,694.95
  5. Step 5: Solve for x
    x = 5,109,694.95/3,452.11
  6. Step 6: Final answer
    x = 1,480.17

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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.