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Finding the Fourth Proportional to 3,711.50, 5,568.22 and 1,631.91

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Solution

The fourth proportional to 3,711.50, 5,568.22 and 1,631.91 is: 2,448.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.50 : 5,568.22 = 1,631.91 : x
  2. Step 2: Convert to fraction form
    3,711.50/5,568.22 = 1,631.91/x
  3. Step 3: Cross multiply
    3,711.50x = 5,568.22 × 1,631.91
  4. Step 4: Simplify right side
    3,711.50x = 9,086,829.82
  5. Step 5: Solve for x
    x = 9,086,829.82/3,711.50
  6. Step 6: Final answer
    x = 2,448.29

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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.