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Finding the Fourth Proportional to 5,135.85, 7,704.33 and 1,672.29

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Solution

The fourth proportional to 5,135.85, 7,704.33 and 1,672.29 is: 2,508.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,135.85 : 7,704.33 = 1,672.29 : x
  2. Step 2: Convert to fraction form
    5,135.85/7,704.33 = 1,672.29/x
  3. Step 3: Cross multiply
    5,135.85x = 7,704.33 × 1,672.29
  4. Step 4: Simplify right side
    5,135.85x = 12,883,874.02
  5. Step 5: Solve for x
    x = 12,883,874.02/5,135.85
  6. Step 6: Final answer
    x = 2,508.62

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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.