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Finding the Fourth Proportional to 3,729.57, 5,589.09 and 2,946.12

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Solution

The fourth proportional to 3,729.57, 5,589.09 and 2,946.12 is: 4,415.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,729.57 : 5,589.09 = 2,946.12 : x
  2. Step 2: Convert to fraction form
    3,729.57/5,589.09 = 2,946.12/x
  3. Step 3: Cross multiply
    3,729.57x = 5,589.09 × 2,946.12
  4. Step 4: Simplify right side
    3,729.57x = 16,466,129.83
  5. Step 5: Solve for x
    x = 16,466,129.83/3,729.57
  6. Step 6: Final answer
    x = 4,415.02

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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.