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Finding the Fourth Proportional to 5,947.60, 8,921.48 and 2,827.93

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Solution

The fourth proportional to 5,947.60, 8,921.48 and 2,827.93 is: 4,241.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.60 : 8,921.48 = 2,827.93 : x
  2. Step 2: Convert to fraction form
    5,947.60/8,921.48 = 2,827.93/x
  3. Step 3: Cross multiply
    5,947.60x = 8,921.48 × 2,827.93
  4. Step 4: Simplify right side
    5,947.60x = 25,229,306.80
  5. Step 5: Solve for x
    x = 25,229,306.80/5,947.60
  6. Step 6: Final answer
    x = 4,241.93

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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.