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Finding the Fourth Proportional to 5,645.72, 8,468.58 and 2,724.32

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Solution

The fourth proportional to 5,645.72, 8,468.58 and 2,724.32 is: 4,086.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.72 : 8,468.58 = 2,724.32 : x
  2. Step 2: Convert to fraction form
    5,645.72/8,468.58 = 2,724.32/x
  3. Step 3: Cross multiply
    5,645.72x = 8,468.58 × 2,724.32
  4. Step 4: Simplify right side
    5,645.72x = 23,071,121.87
  5. Step 5: Solve for x
    x = 23,071,121.87/5,645.72
  6. Step 6: Final answer
    x = 4,086.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.