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Finding the Fourth Proportional to 3,720.46, 5,134.32 and 2,229.94

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Solution

The fourth proportional to 3,720.46, 5,134.32 and 2,229.94 is: 3,077.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,720.46 : 5,134.32 = 2,229.94 : x
  2. Step 2: Convert to fraction form
    3,720.46/5,134.32 = 2,229.94/x
  3. Step 3: Cross multiply
    3,720.46x = 5,134.32 × 2,229.94
  4. Step 4: Simplify right side
    3,720.46x = 11,449,225.54
  5. Step 5: Solve for x
    x = 11,449,225.54/3,720.46
  6. Step 6: Final answer
    x = 3,077.37

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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.