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Finding the Fourth Proportional to 5,306.69, 7,960.04 and 2,185.90

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Solution

The fourth proportional to 5,306.69, 7,960.04 and 2,185.90 is: 3,278.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.69 : 7,960.04 = 2,185.90 : x
  2. Step 2: Convert to fraction form
    5,306.69/7,960.04 = 2,185.90/x
  3. Step 3: Cross multiply
    5,306.69x = 7,960.04 × 2,185.90
  4. Step 4: Simplify right side
    5,306.69x = 17,399,851.44
  5. Step 5: Solve for x
    x = 17,399,851.44/5,306.69
  6. Step 6: Final answer
    x = 3,278.85

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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.