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Finding the Fourth Proportional to 5,845.72, 8,069.75 and 3,724.16

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Solution

The fourth proportional to 5,845.72, 8,069.75 and 3,724.16 is: 5,141.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,845.72 : 8,069.75 = 3,724.16 : x
  2. Step 2: Convert to fraction form
    5,845.72/8,069.75 = 3,724.16/x
  3. Step 3: Cross multiply
    5,845.72x = 8,069.75 × 3,724.16
  4. Step 4: Simplify right side
    5,845.72x = 30,053,084.19
  5. Step 5: Solve for x
    x = 30,053,084.19/5,845.72
  6. Step 6: Final answer
    x = 5,141.04

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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.