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Finding the Fourth Proportional to 6,395.20, 8,821.92 and 4,402.24

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Solution

The fourth proportional to 6,395.20, 8,821.92 and 4,402.24 is: 6,072.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.20 : 8,821.92 = 4,402.24 : x
  2. Step 2: Convert to fraction form
    6,395.20/8,821.92 = 4,402.24/x
  3. Step 3: Cross multiply
    6,395.20x = 8,821.92 × 4,402.24
  4. Step 4: Simplify right side
    6,395.20x = 38,836,209.10
  5. Step 5: Solve for x
    x = 38,836,209.10/6,395.20
  6. Step 6: Final answer
    x = 6,072.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.