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Finding the Fourth Proportional to 3,897.77, 5,378.38 and 2,304.49

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Solution

The fourth proportional to 3,897.77, 5,378.38 and 2,304.49 is: 3,179.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.77 : 5,378.38 = 2,304.49 : x
  2. Step 2: Convert to fraction form
    3,897.77/5,378.38 = 2,304.49/x
  3. Step 3: Cross multiply
    3,897.77x = 5,378.38 × 2,304.49
  4. Step 4: Simplify right side
    3,897.77x = 12,394,422.93
  5. Step 5: Solve for x
    x = 12,394,422.93/3,897.77
  6. Step 6: Final answer
    x = 3,179.88

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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.