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Finding the Fourth Proportional to 3,434.88, 5,144.64 and 2,132.64

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Solution

The fourth proportional to 3,434.88, 5,144.64 and 2,132.64 is: 3,194.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,434.88 : 5,144.64 = 2,132.64 : x
  2. Step 2: Convert to fraction form
    3,434.88/5,144.64 = 2,132.64/x
  3. Step 3: Cross multiply
    3,434.88x = 5,144.64 × 2,132.64
  4. Step 4: Simplify right side
    3,434.88x = 10,971,665.05
  5. Step 5: Solve for x
    x = 10,971,665.05/3,434.88
  6. Step 6: Final answer
    x = 3,194.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.