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Finding the Fourth Proportional to 5,865, 8,799.66 and 3,091.56

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Solution

The fourth proportional to 5,865, 8,799.66 and 3,091.56 is: 4,638.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865 : 8,799.66 = 3,091.56 : x
  2. Step 2: Convert to fraction form
    5,865/8,799.66 = 3,091.56/x
  3. Step 3: Cross multiply
    5,865x = 8,799.66 × 3,091.56
  4. Step 4: Simplify right side
    5,865x = 27,204,676.87
  5. Step 5: Solve for x
    x = 27,204,676.87/5,865
  6. Step 6: Final answer
    x = 4,638.48

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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.