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Finding the Fourth Proportional to 3,440.48, 5,160.66 and 843.44

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Solution

The fourth proportional to 3,440.48, 5,160.66 and 843.44 is: 1,265.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.48 : 5,160.66 = 843.44 : x
  2. Step 2: Convert to fraction form
    3,440.48/5,160.66 = 843.44/x
  3. Step 3: Cross multiply
    3,440.48x = 5,160.66 × 843.44
  4. Step 4: Simplify right side
    3,440.48x = 4,352,707.07
  5. Step 5: Solve for x
    x = 4,352,707.07/3,440.48
  6. Step 6: Final answer
    x = 1,265.15

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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.