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Finding the Fourth Proportional to 4,310.25, 6,454.40 and 3,949.40

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Solution

The fourth proportional to 4,310.25, 6,454.40 and 3,949.40 is: 5,914.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,310.25 : 6,454.40 = 3,949.40 : x
  2. Step 2: Convert to fraction form
    4,310.25/6,454.40 = 3,949.40/x
  3. Step 3: Cross multiply
    4,310.25x = 6,454.40 × 3,949.40
  4. Step 4: Simplify right side
    4,310.25x = 25,490,979.55
  5. Step 5: Solve for x
    x = 25,490,979.55/4,310.25
  6. Step 6: Final answer
    x = 5,914.03

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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.