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Finding the Fourth Proportional to 6,486.08, 8,948.32 and 3,966.92

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Solution

The fourth proportional to 6,486.08, 8,948.32 and 3,966.92 is: 5,472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.08 : 8,948.32 = 3,966.92 : x
  2. Step 2: Convert to fraction form
    6,486.08/8,948.32 = 3,966.92/x
  3. Step 3: Cross multiply
    6,486.08x = 8,948.32 × 3,966.92
  4. Step 4: Simplify right side
    6,486.08x = 35,497,321.12
  5. Step 5: Solve for x
    x = 35,497,321.12/6,486.08
  6. Step 6: Final answer
    x = 5,472.85

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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.