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Finding the Fourth Proportional to 3,084.28, 4,626.71 and 863.11

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Solution

The fourth proportional to 3,084.28, 4,626.71 and 863.11 is: 1,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.28 : 4,626.71 = 863.11 : x
  2. Step 2: Convert to fraction form
    3,084.28/4,626.71 = 863.11/x
  3. Step 3: Cross multiply
    3,084.28x = 4,626.71 × 863.11
  4. Step 4: Simplify right side
    3,084.28x = 3,993,349.57
  5. Step 5: Solve for x
    x = 3,993,349.57/3,084.28
  6. Step 6: Final answer
    x = 1,294.74

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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.