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Finding the Fourth Proportional to 5,832.64, 8,744.04 and 2,543.32

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Solution

The fourth proportional to 5,832.64, 8,744.04 and 2,543.32 is: 3,812.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.64 : 8,744.04 = 2,543.32 : x
  2. Step 2: Convert to fraction form
    5,832.64/8,744.04 = 2,543.32/x
  3. Step 3: Cross multiply
    5,832.64x = 8,744.04 × 2,543.32
  4. Step 4: Simplify right side
    5,832.64x = 22,238,891.81
  5. Step 5: Solve for x
    x = 22,238,891.81/5,832.64
  6. Step 6: Final answer
    x = 3,812.83

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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.