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Finding the Fourth Proportional to 3,836.26, 5,754.71 and 1,062.93

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Solution

The fourth proportional to 3,836.26, 5,754.71 and 1,062.93 is: 1,594.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.26 : 5,754.71 = 1,062.93 : x
  2. Step 2: Convert to fraction form
    3,836.26/5,754.71 = 1,062.93/x
  3. Step 3: Cross multiply
    3,836.26x = 5,754.71 × 1,062.93
  4. Step 4: Simplify right side
    3,836.26x = 6,116,856.56
  5. Step 5: Solve for x
    x = 6,116,856.56/3,836.26
  6. Step 6: Final answer
    x = 1,594.49

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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.