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Finding the Fourth Proportional to 3,343.85, 5,015.84 and 878.68

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Solution

The fourth proportional to 3,343.85, 5,015.84 and 878.68 is: 1,318.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.85 : 5,015.84 = 878.68 : x
  2. Step 2: Convert to fraction form
    3,343.85/5,015.84 = 878.68/x
  3. Step 3: Cross multiply
    3,343.85x = 5,015.84 × 878.68
  4. Step 4: Simplify right side
    3,343.85x = 4,407,325.11
  5. Step 5: Solve for x
    x = 4,407,325.11/3,343.85
  6. Step 6: Final answer
    x = 1,318.04

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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.