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Finding the Fourth Proportional to 3,926.01, 5,886.50 and 1,843.23

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Solution

The fourth proportional to 3,926.01, 5,886.50 and 1,843.23 is: 2,763.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.01 : 5,886.50 = 1,843.23 : x
  2. Step 2: Convert to fraction form
    3,926.01/5,886.50 = 1,843.23/x
  3. Step 3: Cross multiply
    3,926.01x = 5,886.50 × 1,843.23
  4. Step 4: Simplify right side
    3,926.01x = 10,850,164.18
  5. Step 5: Solve for x
    x = 10,850,164.18/3,926.01
  6. Step 6: Final answer
    x = 2,763.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.