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Finding the Fourth Proportional to 3,308.68, 4,963.14 and 843.56

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Solution

The fourth proportional to 3,308.68, 4,963.14 and 843.56 is: 1,265.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,308.68 : 4,963.14 = 843.56 : x
  2. Step 2: Convert to fraction form
    3,308.68/4,963.14 = 843.56/x
  3. Step 3: Cross multiply
    3,308.68x = 4,963.14 × 843.56
  4. Step 4: Simplify right side
    3,308.68x = 4,186,706.38
  5. Step 5: Solve for x
    x = 4,186,706.38/3,308.68
  6. Step 6: Final answer
    x = 1,265.37

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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.