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Finding the Fourth Proportional to 3,679.44, 5,521.92 and 1,733.02

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Solution

The fourth proportional to 3,679.44, 5,521.92 and 1,733.02 is: 2,600.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.44 : 5,521.92 = 1,733.02 : x
  2. Step 2: Convert to fraction form
    3,679.44/5,521.92 = 1,733.02/x
  3. Step 3: Cross multiply
    3,679.44x = 5,521.92 × 1,733.02
  4. Step 4: Simplify right side
    3,679.44x = 9,569,597.80
  5. Step 5: Solve for x
    x = 9,569,597.80/3,679.44
  6. Step 6: Final answer
    x = 2,600.83

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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.