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Finding the Fourth Proportional to 5,647,929.88, 7,794,194.46 and 3,069,616.84

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Solution

The fourth proportional to 5,647,929.88, 7,794,194.46 and 3,069,616.84 is: 4,236,099.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647,929.88 : 7,794,194.46 = 3,069,616.84 : x
  2. Step 2: Convert to fraction form
    5,647,929.88/7,794,194.46 = 3,069,616.84/x
  3. Step 3: Cross multiply
    5,647,929.88x = 7,794,194.46 × 3,069,616.84
  4. Step 4: Simplify right side
    5,647,929.88x = 23,925,190,568,650.71
  5. Step 5: Solve for x
    x = 23,925,190,568,650.71/5,647,929.88
  6. Step 6: Final answer
    x = 4,236,099.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.