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Finding the Fourth Proportional to 4,618.62, 6,378.75 and 2,854.44

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Solution

The fourth proportional to 4,618.62, 6,378.75 and 2,854.44 is: 3,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,618.62 : 6,378.75 = 2,854.44 : x
  2. Step 2: Convert to fraction form
    4,618.62/6,378.75 = 2,854.44/x
  3. Step 3: Cross multiply
    4,618.62x = 6,378.75 × 2,854.44
  4. Step 4: Simplify right side
    4,618.62x = 18,207,759.15
  5. Step 5: Solve for x
    x = 18,207,759.15/4,618.62
  6. Step 6: Final answer
    x = 3,942.25

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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.