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Finding the Fourth Proportional to 3,433.85, 5,150.23 and 968.84

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Solution

The fourth proportional to 3,433.85, 5,150.23 and 968.84 is: 1,453.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,433.85 : 5,150.23 = 968.84 : x
  2. Step 2: Convert to fraction form
    3,433.85/5,150.23 = 968.84/x
  3. Step 3: Cross multiply
    3,433.85x = 5,150.23 × 968.84
  4. Step 4: Simplify right side
    3,433.85x = 4,989,759.29
  5. Step 5: Solve for x
    x = 4,989,759.29/3,433.85
  6. Step 6: Final answer
    x = 1,453.11

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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.