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Finding the Fourth Proportional to 3,444.78, 5,167.41 and 979.80

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Solution

The fourth proportional to 3,444.78, 5,167.41 and 979.80 is: 1,469.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,444.78 : 5,167.41 = 979.80 : x
  2. Step 2: Convert to fraction form
    3,444.78/5,167.41 = 979.80/x
  3. Step 3: Cross multiply
    3,444.78x = 5,167.41 × 979.80
  4. Step 4: Simplify right side
    3,444.78x = 5,063,028.32
  5. Step 5: Solve for x
    x = 5,063,028.32/3,444.78
  6. Step 6: Final answer
    x = 1,469.77

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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.