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Finding the Fourth Proportional to 3,920.48, 5,409.30 and 2,241.38

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Solution

The fourth proportional to 3,920.48, 5,409.30 and 2,241.38 is: 3,092.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.48 : 5,409.30 = 2,241.38 : x
  2. Step 2: Convert to fraction form
    3,920.48/5,409.30 = 2,241.38/x
  3. Step 3: Cross multiply
    3,920.48x = 5,409.30 × 2,241.38
  4. Step 4: Simplify right side
    3,920.48x = 12,124,296.83
  5. Step 5: Solve for x
    x = 12,124,296.83/3,920.48
  6. Step 6: Final answer
    x = 3,092.55

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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.