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Finding the Fourth Proportional to 3,902.46, 5,853.03 and 1,822.66

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Solution

The fourth proportional to 3,902.46, 5,853.03 and 1,822.66 is: 2,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.46 : 5,853.03 = 1,822.66 : x
  2. Step 2: Convert to fraction form
    3,902.46/5,853.03 = 1,822.66/x
  3. Step 3: Cross multiply
    3,902.46x = 5,853.03 × 1,822.66
  4. Step 4: Simplify right side
    3,902.46x = 10,668,083.66
  5. Step 5: Solve for x
    x = 10,668,083.66/3,902.46
  6. Step 6: Final answer
    x = 2,733.68

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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.