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Finding the Fourth Proportional to 3,704.50, 5,557.86 and 2,144.14

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Solution

The fourth proportional to 3,704.50, 5,557.86 and 2,144.14 is: 3,216.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.50 : 5,557.86 = 2,144.14 : x
  2. Step 2: Convert to fraction form
    3,704.50/5,557.86 = 2,144.14/x
  3. Step 3: Cross multiply
    3,704.50x = 5,557.86 × 2,144.14
  4. Step 4: Simplify right side
    3,704.50x = 11,916,829.94
  5. Step 5: Solve for x
    x = 11,916,829.94/3,704.50
  6. Step 6: Final answer
    x = 3,216.85

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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.