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Finding the Fourth Proportional to 3,891.33, 5,836.68 and 1,426.05

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Solution

The fourth proportional to 3,891.33, 5,836.68 and 1,426.05 is: 2,138.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.33 : 5,836.68 = 1,426.05 : x
  2. Step 2: Convert to fraction form
    3,891.33/5,836.68 = 1,426.05/x
  3. Step 3: Cross multiply
    3,891.33x = 5,836.68 × 1,426.05
  4. Step 4: Simplify right side
    3,891.33x = 8,323,397.51
  5. Step 5: Solve for x
    x = 8,323,397.51/3,891.33
  6. Step 6: Final answer
    x = 2,138.96

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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.