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Finding the Fourth Proportional to 4,086.48, 5,639.92 and 3,836.24

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Solution

The fourth proportional to 4,086.48, 5,639.92 and 3,836.24 is: 5,294.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.48 : 5,639.92 = 3,836.24 : x
  2. Step 2: Convert to fraction form
    4,086.48/5,639.92 = 3,836.24/x
  3. Step 3: Cross multiply
    4,086.48x = 5,639.92 × 3,836.24
  4. Step 4: Simplify right side
    4,086.48x = 21,636,086.70
  5. Step 5: Solve for x
    x = 21,636,086.70/4,086.48
  6. Step 6: Final answer
    x = 5,294.55

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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.