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Finding the Fourth Proportional to 3,894,593.92, 5,836,668.98 and 3,031,071.56

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Solution

The fourth proportional to 3,894,593.92, 5,836,668.98 and 3,031,071.56 is: 4,542,543.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894,593.92 : 5,836,668.98 = 3,031,071.56 : x
  2. Step 2: Convert to fraction form
    3,894,593.92/5,836,668.98 = 3,031,071.56/x
  3. Step 3: Cross multiply
    3,894,593.92x = 5,836,668.98 × 3,031,071.56
  4. Step 4: Simplify right side
    3,894,593.92x = 17,691,361,350,412.21
  5. Step 5: Solve for x
    x = 17,691,361,350,412.21/3,894,593.92
  6. Step 6: Final answer
    x = 4,542,543.26

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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.