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Finding the Fourth Proportional to 5,982.66, 8,967.92 and 3,787.16

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Solution

The fourth proportional to 5,982.66, 8,967.92 and 3,787.16 is: 5,676.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.66 : 8,967.92 = 3,787.16 : x
  2. Step 2: Convert to fraction form
    5,982.66/8,967.92 = 3,787.16/x
  3. Step 3: Cross multiply
    5,982.66x = 8,967.92 × 3,787.16
  4. Step 4: Simplify right side
    5,982.66x = 33,962,884.13
  5. Step 5: Solve for x
    x = 33,962,884.13/5,982.66
  6. Step 6: Final answer
    x = 5,676.89

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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.