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Finding the Fourth Proportional to 3,524.61, 4,864.05 and 1,952.76

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Solution

The fourth proportional to 3,524.61, 4,864.05 and 1,952.76 is: 2,694.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524.61 : 4,864.05 = 1,952.76 : x
  2. Step 2: Convert to fraction form
    3,524.61/4,864.05 = 1,952.76/x
  3. Step 3: Cross multiply
    3,524.61x = 4,864.05 × 1,952.76
  4. Step 4: Simplify right side
    3,524.61x = 9,498,322.28
  5. Step 5: Solve for x
    x = 9,498,322.28/3,524.61
  6. Step 6: Final answer
    x = 2,694.86

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1.5x scale

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.