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Finding the Fourth Proportional to 5,647,929.38, 7,794,193.77 and 3,069,616.34

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Solution

The fourth proportional to 5,647,929.38, 7,794,193.77 and 3,069,616.34 is: 4,236,098.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647,929.38 : 7,794,193.77 = 3,069,616.34 : x
  2. Step 2: Convert to fraction form
    5,647,929.38/7,794,193.77 = 3,069,616.34/x
  3. Step 3: Cross multiply
    5,647,929.38x = 7,794,193.77 × 3,069,616.34
  4. Step 4: Simplify right side
    5,647,929.38x = 23,925,184,553,518.20
  5. Step 5: Solve for x
    x = 23,925,184,553,518.20/5,647,929.38
  6. Step 6: Final answer
    x = 4,236,098.39

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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.