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Finding the Fourth Proportional to 5,747.88, 7,912.62 and 5,158.20

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Solution

The fourth proportional to 5,747.88, 7,912.62 and 5,158.20 is: 7,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,747.88 : 7,912.62 = 5,158.20 : x
  2. Step 2: Convert to fraction form
    5,747.88/7,912.62 = 5,158.20/x
  3. Step 3: Cross multiply
    5,747.88x = 7,912.62 × 5,158.20
  4. Step 4: Simplify right side
    5,747.88x = 40,814,876.48
  5. Step 5: Solve for x
    x = 40,814,876.48/5,747.88
  6. Step 6: Final answer
    x = 7,100.86

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1.5x scale

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.