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Finding the Fourth Proportional to 4,959.54, 7,432.88 and 3,785.20

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Solution

The fourth proportional to 4,959.54, 7,432.88 and 3,785.20 is: 5,672.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,959.54 : 7,432.88 = 3,785.20 : x
  2. Step 2: Convert to fraction form
    4,959.54/7,432.88 = 3,785.20/x
  3. Step 3: Cross multiply
    4,959.54x = 7,432.88 × 3,785.20
  4. Step 4: Simplify right side
    4,959.54x = 28,134,937.38
  5. Step 5: Solve for x
    x = 28,134,937.38/4,959.54
  6. Step 6: Final answer
    x = 5,672.89

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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.