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Finding the Fourth Proportional to 3,952.39, 5,454.33 and 2,184

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Solution

The fourth proportional to 3,952.39, 5,454.33 and 2,184 is: 3,013.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,952.39 : 5,454.33 = 2,184 : x
  2. Step 2: Convert to fraction form
    3,952.39/5,454.33 = 2,184/x
  3. Step 3: Cross multiply
    3,952.39x = 5,454.33 × 2,184
  4. Step 4: Simplify right side
    3,952.39x = 11,912,256.72
  5. Step 5: Solve for x
    x = 11,912,256.72/3,952.39
  6. Step 6: Final answer
    x = 3,013.94

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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.