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Finding the Fourth Proportional to 3,667, 5,502.39 and 2,351.45

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Solution

The fourth proportional to 3,667, 5,502.39 and 2,351.45 is: 3,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,667 : 5,502.39 = 2,351.45 : x
  2. Step 2: Convert to fraction form
    3,667/5,502.39 = 2,351.45/x
  3. Step 3: Cross multiply
    3,667x = 5,502.39 × 2,351.45
  4. Step 4: Simplify right side
    3,667x = 12,938,594.97
  5. Step 5: Solve for x
    x = 12,938,594.97/3,667
  6. Step 6: Final answer
    x = 3,528.39

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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.