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Finding the Fourth Proportional to 5,815.50, 8,727.09 and 2,737.74

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Solution

The fourth proportional to 5,815.50, 8,727.09 and 2,737.74 is: 4,108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,815.50 : 8,727.09 = 2,737.74 : x
  2. Step 2: Convert to fraction form
    5,815.50/8,727.09 = 2,737.74/x
  3. Step 3: Cross multiply
    5,815.50x = 8,727.09 × 2,737.74
  4. Step 4: Simplify right side
    5,815.50x = 23,892,503.38
  5. Step 5: Solve for x
    x = 23,892,503.38/5,815.50
  6. Step 6: Final answer
    x = 4,108.42

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Why These Related Problems?

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