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Finding the Fourth Proportional to 4,057.50, 5,600.40 and 2,644.71

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Solution

The fourth proportional to 4,057.50, 5,600.40 and 2,644.71 is: 3,650.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,057.50 : 5,600.40 = 2,644.71 : x
  2. Step 2: Convert to fraction form
    4,057.50/5,600.40 = 2,644.71/x
  3. Step 3: Cross multiply
    4,057.50x = 5,600.40 × 2,644.71
  4. Step 4: Simplify right side
    4,057.50x = 14,811,433.88
  5. Step 5: Solve for x
    x = 14,811,433.88/4,057.50
  6. Step 6: Final answer
    x = 3,650.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.