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Finding the Fourth Proportional to 5,781,552.44, 7,978,438.92 and 3,203,181.50

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Solution

The fourth proportional to 5,781,552.44, 7,978,438.92 and 3,203,181.50 is: 4,420,333.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781,552.44 : 7,978,438.92 = 3,203,181.50 : x
  2. Step 2: Convert to fraction form
    5,781,552.44/7,978,438.92 = 3,203,181.50/x
  3. Step 3: Cross multiply
    5,781,552.44x = 7,978,438.92 × 3,203,181.50
  4. Step 4: Simplify right side
    5,781,552.44x = 25,556,387,947,423.98
  5. Step 5: Solve for x
    x = 25,556,387,947,423.98/5,781,552.44
  6. Step 6: Final answer
    x = 4,420,333.16

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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.