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Finding the Fourth Proportional to 4,086.70, 5,640.90 and 3,248.92

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Solution

The fourth proportional to 4,086.70, 5,640.90 and 3,248.92 is: 4,484.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.70 : 5,640.90 = 3,248.92 : x
  2. Step 2: Convert to fraction form
    4,086.70/5,640.90 = 3,248.92/x
  3. Step 3: Cross multiply
    4,086.70x = 5,640.90 × 3,248.92
  4. Step 4: Simplify right side
    4,086.70x = 18,326,832.83
  5. Step 5: Solve for x
    x = 18,326,832.83/4,086.70
  6. Step 6: Final answer
    x = 4,484.51

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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.