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Finding the Fourth Proportional to 4,255.52, 6,383.72 and 1,177.52

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Solution

The fourth proportional to 4,255.52, 6,383.72 and 1,177.52 is: 1,766.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,255.52 : 6,383.72 = 1,177.52 : x
  2. Step 2: Convert to fraction form
    4,255.52/6,383.72 = 1,177.52/x
  3. Step 3: Cross multiply
    4,255.52x = 6,383.72 × 1,177.52
  4. Step 4: Simplify right side
    4,255.52x = 7,516,957.97
  5. Step 5: Solve for x
    x = 7,516,957.97/4,255.52
  6. Step 6: Final answer
    x = 1,766.40

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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.