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Finding the Fourth Proportional to 3,722.46, 5,578.50 and 2,474.52

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Solution

The fourth proportional to 3,722.46, 5,578.50 and 2,474.52 is: 3,708.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.46 : 5,578.50 = 2,474.52 : x
  2. Step 2: Convert to fraction form
    3,722.46/5,578.50 = 2,474.52/x
  3. Step 3: Cross multiply
    3,722.46x = 5,578.50 × 2,474.52
  4. Step 4: Simplify right side
    3,722.46x = 13,804,081.93
  5. Step 5: Solve for x
    x = 13,804,081.93/3,722.46
  6. Step 6: Final answer
    x = 3,708.33

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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.