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Finding the Fourth Proportional to 3,474.08, 4,794.38 and 1,981.92

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Solution

The fourth proportional to 3,474.08, 4,794.38 and 1,981.92 is: 2,735.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.08 : 4,794.38 = 1,981.92 : x
  2. Step 2: Convert to fraction form
    3,474.08/4,794.38 = 1,981.92/x
  3. Step 3: Cross multiply
    3,474.08x = 4,794.38 × 1,981.92
  4. Step 4: Simplify right side
    3,474.08x = 9,502,077.61
  5. Step 5: Solve for x
    x = 9,502,077.61/3,474.08
  6. Step 6: Final answer
    x = 2,735.13

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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.