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Finding the Fourth Proportional to 5,264.62, 7,891.38 and 1,753.69

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Solution

The fourth proportional to 5,264.62, 7,891.38 and 1,753.69 is: 2,628.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,264.62 : 7,891.38 = 1,753.69 : x
  2. Step 2: Convert to fraction form
    5,264.62/7,891.38 = 1,753.69/x
  3. Step 3: Cross multiply
    5,264.62x = 7,891.38 × 1,753.69
  4. Step 4: Simplify right side
    5,264.62x = 13,839,034.19
  5. Step 5: Solve for x
    x = 13,839,034.19/5,264.62
  6. Step 6: Final answer
    x = 2,628.69

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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.