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Finding the Fourth Proportional to 5,167.44, 7,741.44 and 2,572.20

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Solution

The fourth proportional to 5,167.44, 7,741.44 and 2,572.20 is: 3,853.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.44 : 7,741.44 = 2,572.20 : x
  2. Step 2: Convert to fraction form
    5,167.44/7,741.44 = 2,572.20/x
  3. Step 3: Cross multiply
    5,167.44x = 7,741.44 × 2,572.20
  4. Step 4: Simplify right side
    5,167.44x = 19,912,531.97
  5. Step 5: Solve for x
    x = 19,912,531.97/5,167.44
  6. Step 6: Final answer
    x = 3,853.46

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1.5x scale

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.