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Finding the Fourth Proportional to 5,976.74, 8,963.91 and 3,754.58

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Solution

The fourth proportional to 5,976.74, 8,963.91 and 3,754.58 is: 5,631.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,976.74 : 8,963.91 = 3,754.58 : x
  2. Step 2: Convert to fraction form
    5,976.74/8,963.91 = 3,754.58/x
  3. Step 3: Cross multiply
    5,976.74x = 8,963.91 × 3,754.58
  4. Step 4: Simplify right side
    5,976.74x = 33,655,717.21
  5. Step 5: Solve for x
    x = 33,655,717.21/5,976.74
  6. Step 6: Final answer
    x = 5,631.12

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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.