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Finding the Fourth Proportional to 5,125.72, 7,689.84 and 2,202.44

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Solution

The fourth proportional to 5,125.72, 7,689.84 and 2,202.44 is: 3,304.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,125.72 : 7,689.84 = 2,202.44 : x
  2. Step 2: Convert to fraction form
    5,125.72/7,689.84 = 2,202.44/x
  3. Step 3: Cross multiply
    5,125.72x = 7,689.84 × 2,202.44
  4. Step 4: Simplify right side
    5,125.72x = 16,936,411.21
  5. Step 5: Solve for x
    x = 16,936,411.21/5,125.72
  6. Step 6: Final answer
    x = 3,304.20

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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.