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Finding the Fourth Proportional to 3,926.07, 5,891.40 and 1,462.59

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Solution

The fourth proportional to 3,926.07, 5,891.40 and 1,462.59 is: 2,194.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.07 : 5,891.40 = 1,462.59 : x
  2. Step 2: Convert to fraction form
    3,926.07/5,891.40 = 1,462.59/x
  3. Step 3: Cross multiply
    3,926.07x = 5,891.40 × 1,462.59
  4. Step 4: Simplify right side
    3,926.07x = 8,616,702.73
  5. Step 5: Solve for x
    x = 8,616,702.73/3,926.07
  6. Step 6: Final answer
    x = 2,194.74

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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.