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Finding the Fourth Proportional to 5,737.82, 8,612.12 and 2,818.22

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Solution

The fourth proportional to 5,737.82, 8,612.12 and 2,818.22 is: 4,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,737.82 : 8,612.12 = 2,818.22 : x
  2. Step 2: Convert to fraction form
    5,737.82/8,612.12 = 2,818.22/x
  3. Step 3: Cross multiply
    5,737.82x = 8,612.12 × 2,818.22
  4. Step 4: Simplify right side
    5,737.82x = 24,270,812.81
  5. Step 5: Solve for x
    x = 24,270,812.81/5,737.82
  6. Step 6: Final answer
    x = 4,229.97

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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.