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Finding the Fourth Proportional to 5,613.78, 7,747.02 and 3,257.90

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Solution

The fourth proportional to 5,613.78, 7,747.02 and 3,257.90 is: 4,495.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.78 : 7,747.02 = 3,257.90 : x
  2. Step 2: Convert to fraction form
    5,613.78/7,747.02 = 3,257.90/x
  3. Step 3: Cross multiply
    5,613.78x = 7,747.02 × 3,257.90
  4. Step 4: Simplify right side
    5,613.78x = 25,239,016.46
  5. Step 5: Solve for x
    x = 25,239,016.46/5,613.78
  6. Step 6: Final answer
    x = 4,495.90

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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.