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Finding the Fourth Proportional to 3,454.26, 4,767.03 and 1,962.42

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Solution

The fourth proportional to 3,454.26, 4,767.03 and 1,962.42 is: 2,708.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.26 : 4,767.03 = 1,962.42 : x
  2. Step 2: Convert to fraction form
    3,454.26/4,767.03 = 1,962.42/x
  3. Step 3: Cross multiply
    3,454.26x = 4,767.03 × 1,962.42
  4. Step 4: Simplify right side
    3,454.26x = 9,354,915.01
  5. Step 5: Solve for x
    x = 9,354,915.01/3,454.26
  6. Step 6: Final answer
    x = 2,708.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.