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Finding the Fourth Proportional to 5,581.41, 8,371.71 and 2,249.88

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Solution

The fourth proportional to 5,581.41, 8,371.71 and 2,249.88 is: 3,374.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,581.41 : 8,371.71 = 2,249.88 : x
  2. Step 2: Convert to fraction form
    5,581.41/8,371.71 = 2,249.88/x
  3. Step 3: Cross multiply
    5,581.41x = 8,371.71 × 2,249.88
  4. Step 4: Simplify right side
    5,581.41x = 18,835,342.89
  5. Step 5: Solve for x
    x = 18,835,342.89/5,581.41
  6. Step 6: Final answer
    x = 3,374.66

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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.