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Finding the Fourth Proportional to 5,724.27, 7,899.49 and 3,486.15

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Solution

The fourth proportional to 5,724.27, 7,899.49 and 3,486.15 is: 4,810.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,724.27 : 7,899.49 = 3,486.15 : x
  2. Step 2: Convert to fraction form
    5,724.27/7,899.49 = 3,486.15/x
  3. Step 3: Cross multiply
    5,724.27x = 7,899.49 × 3,486.15
  4. Step 4: Simplify right side
    5,724.27x = 27,538,767.57
  5. Step 5: Solve for x
    x = 27,538,767.57/5,724.27
  6. Step 6: Final answer
    x = 4,810.88

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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.