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Finding the Fourth Proportional to 3,984,029.26, 5,976,065.74 and 992,213.26

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Solution

The fourth proportional to 3,984,029.26, 5,976,065.74 and 992,213.26 is: 1,488,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984,029.26 : 5,976,065.74 = 992,213.26 : x
  2. Step 2: Convert to fraction form
    3,984,029.26/5,976,065.74 = 992,213.26/x
  3. Step 3: Cross multiply
    3,984,029.26x = 5,976,065.74 × 992,213.26
  4. Step 4: Simplify right side
    3,984,029.26x = 5,929,531,669,859.71
  5. Step 5: Solve for x
    x = 5,929,531,669,859.71/3,984,029.26
  6. Step 6: Final answer
    x = 1,488,325.33

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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.