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Finding the Fourth Proportional to 5,947.25, 8,920.88 and 1,843.25

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Solution

The fourth proportional to 5,947.25, 8,920.88 and 1,843.25 is: 2,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.25 : 8,920.88 = 1,843.25 : x
  2. Step 2: Convert to fraction form
    5,947.25/8,920.88 = 1,843.25/x
  3. Step 3: Cross multiply
    5,947.25x = 8,920.88 × 1,843.25
  4. Step 4: Simplify right side
    5,947.25x = 16,443,402.84
  5. Step 5: Solve for x
    x = 16,443,402.84/5,947.25
  6. Step 6: Final answer
    x = 2,764.88

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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.