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Finding the Fourth Proportional to 3,894,598.78, 5,836,676.18 and 3,031,076.35

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Solution

The fourth proportional to 3,894,598.78, 5,836,676.18 and 3,031,076.35 is: 4,542,550.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894,598.78 : 5,836,676.18 = 3,031,076.35 : x
  2. Step 2: Convert to fraction form
    3,894,598.78/5,836,676.18 = 3,031,076.35/x
  3. Step 3: Cross multiply
    3,894,598.78x = 5,836,676.18 × 3,031,076.35
  4. Step 4: Simplify right side
    3,894,598.78x = 17,691,411,135,313.34
  5. Step 5: Solve for x
    x = 17,691,411,135,313.34/3,894,598.78
  6. Step 6: Final answer
    x = 4,542,550.37

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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.