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Finding the Fourth Proportional to 6,456.71, 8,910.20 and 3,938.66

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Solution

The fourth proportional to 6,456.71, 8,910.20 and 3,938.66 is: 5,435.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.71 : 8,910.20 = 3,938.66 : x
  2. Step 2: Convert to fraction form
    6,456.71/8,910.20 = 3,938.66/x
  3. Step 3: Cross multiply
    6,456.71x = 8,910.20 × 3,938.66
  4. Step 4: Simplify right side
    6,456.71x = 35,094,247.04
  5. Step 5: Solve for x
    x = 35,094,247.04/6,456.71
  6. Step 6: Final answer
    x = 5,435.31

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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.