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Finding the Fourth Proportional to 5,613.36, 7,747.20 and 4,213.68

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Solution

The fourth proportional to 5,613.36, 7,747.20 and 4,213.68 is: 5,815.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,613.36 : 7,747.20 = 4,213.68 : x
  2. Step 2: Convert to fraction form
    5,613.36/7,747.20 = 4,213.68/x
  3. Step 3: Cross multiply
    5,613.36x = 7,747.20 × 4,213.68
  4. Step 4: Simplify right side
    5,613.36x = 32,644,221.70
  5. Step 5: Solve for x
    x = 32,644,221.70/5,613.36
  6. Step 6: Final answer
    x = 5,815.45

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Double scale
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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.