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Finding the Fourth Proportional to 4,253.70, 6,385.20 and 3,139.64

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Solution

The fourth proportional to 4,253.70, 6,385.20 and 3,139.64 is: 4,712.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.70 : 6,385.20 = 3,139.64 : x
  2. Step 2: Convert to fraction form
    4,253.70/6,385.20 = 3,139.64/x
  3. Step 3: Cross multiply
    4,253.70x = 6,385.20 × 3,139.64
  4. Step 4: Simplify right side
    4,253.70x = 20,047,229.33
  5. Step 5: Solve for x
    x = 20,047,229.33/4,253.70
  6. Step 6: Final answer
    x = 4,712.89

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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.