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Finding the Fourth Proportional to 3,894,596.91, 5,836,673.48 and 3,031,074.54

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Solution

The fourth proportional to 3,894,596.91, 5,836,673.48 and 3,031,074.54 is: 4,542,547.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894,596.91 : 5,836,673.48 = 3,031,074.54 : x
  2. Step 2: Convert to fraction form
    3,894,596.91/5,836,673.48 = 3,031,074.54/x
  3. Step 3: Cross multiply
    3,894,596.91x = 5,836,673.48 × 3,031,074.54
  4. Step 4: Simplify right side
    3,894,596.91x = 17,691,392,368,365.82
  5. Step 5: Solve for x
    x = 17,691,392,368,365.82/3,894,596.91
  6. Step 6: Final answer
    x = 4,542,547.73

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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.