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Finding the Fourth Proportional to 3,967.97, 5,952.03 and 1,503.95

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Solution

The fourth proportional to 3,967.97, 5,952.03 and 1,503.95 is: 2,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.97 : 5,952.03 = 1,503.95 : x
  2. Step 2: Convert to fraction form
    3,967.97/5,952.03 = 1,503.95/x
  3. Step 3: Cross multiply
    3,967.97x = 5,952.03 × 1,503.95
  4. Step 4: Simplify right side
    3,967.97x = 8,951,548.00
  5. Step 5: Solve for x
    x = 8,951,548.00/3,967.97
  6. Step 6: Final answer
    x = 2,255.95

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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.