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Finding the Fourth Proportional to 3,162.86, 4,737.80 and 2,543.22

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Solution

The fourth proportional to 3,162.86, 4,737.80 and 2,543.22 is: 3,809.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.86 : 4,737.80 = 2,543.22 : x
  2. Step 2: Convert to fraction form
    3,162.86/4,737.80 = 2,543.22/x
  3. Step 3: Cross multiply
    3,162.86x = 4,737.80 × 2,543.22
  4. Step 4: Simplify right side
    3,162.86x = 12,049,267.72
  5. Step 5: Solve for x
    x = 12,049,267.72/3,162.86
  6. Step 6: Final answer
    x = 3,809.61

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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.