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Finding the Fourth Proportional to 3,894,599.78, 5,836,677.68 and 3,031,077.35

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Solution

The fourth proportional to 3,894,599.78, 5,836,677.68 and 3,031,077.35 is: 4,542,551.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894,599.78 : 5,836,677.68 = 3,031,077.35 : x
  2. Step 2: Convert to fraction form
    3,894,599.78/5,836,677.68 = 3,031,077.35/x
  3. Step 3: Cross multiply
    3,894,599.78x = 5,836,677.68 × 3,031,077.35
  4. Step 4: Simplify right side
    3,894,599.78x = 17,691,421,515,098.55
  5. Step 5: Solve for x
    x = 17,691,421,515,098.55/3,894,599.78
  6. Step 6: Final answer
    x = 4,542,551.87

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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.