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Finding the Fourth Proportional to 5,265.27, 7,891.93 and 1,754.46

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Solution

The fourth proportional to 5,265.27, 7,891.93 and 1,754.46 is: 2,629.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,265.27 : 7,891.93 = 1,754.46 : x
  2. Step 2: Convert to fraction form
    5,265.27/7,891.93 = 1,754.46/x
  3. Step 3: Cross multiply
    5,265.27x = 7,891.93 × 1,754.46
  4. Step 4: Simplify right side
    5,265.27x = 13,846,077.70
  5. Step 5: Solve for x
    x = 13,846,077.70/5,265.27
  6. Step 6: Final answer
    x = 2,629.70

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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.