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Finding the Fourth Proportional to 3,473.92, 5,205.12 and 2,498.56

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Solution

The fourth proportional to 3,473.92, 5,205.12 and 2,498.56 is: 3,743.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.92 : 5,205.12 = 2,498.56 : x
  2. Step 2: Convert to fraction form
    3,473.92/5,205.12 = 2,498.56/x
  3. Step 3: Cross multiply
    3,473.92x = 5,205.12 × 2,498.56
  4. Step 4: Simplify right side
    3,473.92x = 13,005,304.63
  5. Step 5: Solve for x
    x = 13,005,304.63/3,473.92
  6. Step 6: Final answer
    x = 3,743.70

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1.5x scale

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.