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Finding the Fourth Proportional to 5,261.97, 7,893.01 and 1,366.38

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Solution

The fourth proportional to 5,261.97, 7,893.01 and 1,366.38 is: 2,049.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,261.97 : 7,893.01 = 1,366.38 : x
  2. Step 2: Convert to fraction form
    5,261.97/7,893.01 = 1,366.38/x
  3. Step 3: Cross multiply
    5,261.97x = 7,893.01 × 1,366.38
  4. Step 4: Simplify right side
    5,261.97x = 10,784,851.00
  5. Step 5: Solve for x
    x = 10,784,851.00/5,261.97
  6. Step 6: Final answer
    x = 2,049.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.