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Finding the Fourth Proportional to 5,418.80, 7,478.11 and 3,061.09

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Solution

The fourth proportional to 5,418.80, 7,478.11 and 3,061.09 is: 4,224.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.80 : 7,478.11 = 3,061.09 : x
  2. Step 2: Convert to fraction form
    5,418.80/7,478.11 = 3,061.09/x
  3. Step 3: Cross multiply
    5,418.80x = 7,478.11 × 3,061.09
  4. Step 4: Simplify right side
    5,418.80x = 22,891,115.04
  5. Step 5: Solve for x
    x = 22,891,115.04/5,418.80
  6. Step 6: Final answer
    x = 4,224.39

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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.