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Finding the Fourth Proportional to 5,947.30, 8,921.04 and 2,827.63

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Solution

The fourth proportional to 5,947.30, 8,921.04 and 2,827.63 is: 4,241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.30 : 8,921.04 = 2,827.63 : x
  2. Step 2: Convert to fraction form
    5,947.30/8,921.04 = 2,827.63/x
  3. Step 3: Cross multiply
    5,947.30x = 8,921.04 × 2,827.63
  4. Step 4: Simplify right side
    5,947.30x = 25,225,355.73
  5. Step 5: Solve for x
    x = 25,225,355.73/5,947.30
  6. Step 6: Final answer
    x = 4,241.48

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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.