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Finding the Fourth Proportional to 5,882.67, 8,828.30 and 4,500

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Solution

The fourth proportional to 5,882.67, 8,828.30 and 4,500 is: 6,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,882.67 : 8,828.30 = 4,500 : x
  2. Step 2: Convert to fraction form
    5,882.67/8,828.30 = 4,500/x
  3. Step 3: Cross multiply
    5,882.67x = 8,828.30 × 4,500
  4. Step 4: Simplify right side
    5,882.67x = 39,727,361.25
  5. Step 5: Solve for x
    x = 39,727,361.25/5,882.67
  6. Step 6: Final answer
    x = 6,753.29

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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.