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Finding the Fourth Proportional to 3,454.72, 4,767.32 and 1,962.43

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Solution

The fourth proportional to 3,454.72, 4,767.32 and 1,962.43 is: 2,708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.72 : 4,767.32 = 1,962.43 : x
  2. Step 2: Convert to fraction form
    3,454.72/4,767.32 = 1,962.43/x
  3. Step 3: Cross multiply
    3,454.72x = 4,767.32 × 1,962.43
  4. Step 4: Simplify right side
    3,454.72x = 9,355,524.78
  5. Step 5: Solve for x
    x = 9,355,524.78/3,454.72
  6. Step 6: Final answer
    x = 2,708.04

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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.