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Finding the Fourth Proportional to 3,934.95, 5,906.04 and 1,988.52

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Solution

The fourth proportional to 3,934.95, 5,906.04 and 1,988.52 is: 2,984.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.95 : 5,906.04 = 1,988.52 : x
  2. Step 2: Convert to fraction form
    3,934.95/5,906.04 = 1,988.52/x
  3. Step 3: Cross multiply
    3,934.95x = 5,906.04 × 1,988.52
  4. Step 4: Simplify right side
    3,934.95x = 11,744,278.66
  5. Step 5: Solve for x
    x = 11,744,278.66/3,934.95
  6. Step 6: Final answer
    x = 2,984.61

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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.