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Finding the Fourth Proportional to 3,440.21, 5,160.32 and 843.13

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Solution

The fourth proportional to 3,440.21, 5,160.32 and 843.13 is: 1,264.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,440.21 : 5,160.32 = 843.13 : x
  2. Step 2: Convert to fraction form
    3,440.21/5,160.32 = 843.13/x
  3. Step 3: Cross multiply
    3,440.21x = 5,160.32 × 843.13
  4. Step 4: Simplify right side
    3,440.21x = 4,350,790.58
  5. Step 5: Solve for x
    x = 4,350,790.58/3,440.21
  6. Step 6: Final answer
    x = 1,264.69

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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.