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Finding the Fourth Proportional to 5,824.50, 8,737.31 and 1,874.76

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Solution

The fourth proportional to 5,824.50, 8,737.31 and 1,874.76 is: 2,812.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.50 : 8,737.31 = 1,874.76 : x
  2. Step 2: Convert to fraction form
    5,824.50/8,737.31 = 1,874.76/x
  3. Step 3: Cross multiply
    5,824.50x = 8,737.31 × 1,874.76
  4. Step 4: Simplify right side
    5,824.50x = 16,380,359.30
  5. Step 5: Solve for x
    x = 16,380,359.30/5,824.50
  6. Step 6: Final answer
    x = 2,812.32

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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.