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Finding the Fourth Proportional to 3,844.95, 5,306.04 and 2,166.38

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Solution

The fourth proportional to 3,844.95, 5,306.04 and 2,166.38 is: 2,989.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.95 : 5,306.04 = 2,166.38 : x
  2. Step 2: Convert to fraction form
    3,844.95/5,306.04 = 2,166.38/x
  3. Step 3: Cross multiply
    3,844.95x = 5,306.04 × 2,166.38
  4. Step 4: Simplify right side
    3,844.95x = 11,494,900.43
  5. Step 5: Solve for x
    x = 11,494,900.43/3,844.95
  6. Step 6: Final answer
    x = 2,989.61

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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.