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Finding the Fourth Proportional to 4,086.84, 5,635.50 and 3,753.92

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Solution

The fourth proportional to 4,086.84, 5,635.50 and 3,753.92 is: 5,176.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,086.84 : 5,635.50 = 3,753.92 : x
  2. Step 2: Convert to fraction form
    4,086.84/5,635.50 = 3,753.92/x
  3. Step 3: Cross multiply
    4,086.84x = 5,635.50 × 3,753.92
  4. Step 4: Simplify right side
    4,086.84x = 21,155,216.16
  5. Step 5: Solve for x
    x = 21,155,216.16/4,086.84
  6. Step 6: Final answer
    x = 5,176.42

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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.