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Finding the Fourth Proportional to 3,452.28, 5,177.72 and 986.45

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Solution

The fourth proportional to 3,452.28, 5,177.72 and 986.45 is: 1,479.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452.28 : 5,177.72 = 986.45 : x
  2. Step 2: Convert to fraction form
    3,452.28/5,177.72 = 986.45/x
  3. Step 3: Cross multiply
    3,452.28x = 5,177.72 × 986.45
  4. Step 4: Simplify right side
    3,452.28x = 5,107,531.07
  5. Step 5: Solve for x
    x = 5,107,531.07/3,452.28
  6. Step 6: Final answer
    x = 1,479.47

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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.