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Finding the Fourth Proportional to 3,849.26, 5,314.02 and 2,963.12

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Solution

The fourth proportional to 3,849.26, 5,314.02 and 2,963.12 is: 4,090.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.26 : 5,314.02 = 2,963.12 : x
  2. Step 2: Convert to fraction form
    3,849.26/5,314.02 = 2,963.12/x
  3. Step 3: Cross multiply
    3,849.26x = 5,314.02 × 2,963.12
  4. Step 4: Simplify right side
    3,849.26x = 15,746,078.94
  5. Step 5: Solve for x
    x = 15,746,078.94/3,849.26
  6. Step 6: Final answer
    x = 4,090.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.