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Finding the Fourth Proportional to 3,524.68, 4,864.06 and 1,952.74

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Solution

The fourth proportional to 3,524.68, 4,864.06 and 1,952.74 is: 2,694.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.68 : 4,864.06 = 1,952.74 : x
  2. Step 2: Convert to fraction form
    3,524.68/4,864.06 = 1,952.74/x
  3. Step 3: Cross multiply
    3,524.68x = 4,864.06 × 1,952.74
  4. Step 4: Simplify right side
    3,524.68x = 9,498,244.52
  5. Step 5: Solve for x
    x = 9,498,244.52/3,524.68
  6. Step 6: Final answer
    x = 2,694.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.