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Finding the Fourth Proportional to 3,454.25, 5,181.35 and 857.16

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Solution

The fourth proportional to 3,454.25, 5,181.35 and 857.16 is: 1,285.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,454.25 : 5,181.35 = 857.16 : x
  2. Step 2: Convert to fraction form
    3,454.25/5,181.35 = 857.16/x
  3. Step 3: Cross multiply
    3,454.25x = 5,181.35 × 857.16
  4. Step 4: Simplify right side
    3,454.25x = 4,441,241.68
  5. Step 5: Solve for x
    x = 4,441,241.68/3,454.25
  6. Step 6: Final answer
    x = 1,285.73

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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.