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Finding the Fourth Proportional to 5,613.16, 7,747.86 and 3,255.88

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Solution

The fourth proportional to 5,613.16, 7,747.86 and 3,255.88 is: 4,494.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.16 : 7,747.86 = 3,255.88 : x
  2. Step 2: Convert to fraction form
    5,613.16/7,747.86 = 3,255.88/x
  3. Step 3: Cross multiply
    5,613.16x = 7,747.86 × 3,255.88
  4. Step 4: Simplify right side
    5,613.16x = 25,226,102.42
  5. Step 5: Solve for x
    x = 25,226,102.42/5,613.16
  6. Step 6: Final answer
    x = 4,494.10

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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.