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Finding the Fourth Proportional to 3,084.35, 4,626.66 and 863.33

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Solution

The fourth proportional to 3,084.35, 4,626.66 and 863.33 is: 1,295.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,084.35 : 4,626.66 = 863.33 : x
  2. Step 2: Convert to fraction form
    3,084.35/4,626.66 = 863.33/x
  3. Step 3: Cross multiply
    3,084.35x = 4,626.66 × 863.33
  4. Step 4: Simplify right side
    3,084.35x = 3,994,311.24
  5. Step 5: Solve for x
    x = 3,994,311.24/3,084.35
  6. Step 6: Final answer
    x = 1,295.03

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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.