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Finding the Fourth Proportional to 4,967.86, 7,442.10 and 2,769.97

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Solution

The fourth proportional to 4,967.86, 7,442.10 and 2,769.97 is: 4,149.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,967.86 : 7,442.10 = 2,769.97 : x
  2. Step 2: Convert to fraction form
    4,967.86/7,442.10 = 2,769.97/x
  3. Step 3: Cross multiply
    4,967.86x = 7,442.10 × 2,769.97
  4. Step 4: Simplify right side
    4,967.86x = 20,614,393.74
  5. Step 5: Solve for x
    x = 20,614,393.74/4,967.86
  6. Step 6: Final answer
    x = 4,149.55

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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.