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Finding the Fourth Proportional to 3,440.40, 5,160.60 and 843.32

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Solution

The fourth proportional to 3,440.40, 5,160.60 and 843.32 is: 1,264.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.40 : 5,160.60 = 843.32 : x
  2. Step 2: Convert to fraction form
    3,440.40/5,160.60 = 843.32/x
  3. Step 3: Cross multiply
    3,440.40x = 5,160.60 × 843.32
  4. Step 4: Simplify right side
    3,440.40x = 4,352,007.17
  5. Step 5: Solve for x
    x = 4,352,007.17/3,440.40
  6. Step 6: Final answer
    x = 1,264.97

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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.