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Finding the Fourth Proportional to 5,306.97, 7,960.86 and 1,609.51

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Solution

The fourth proportional to 5,306.97, 7,960.86 and 1,609.51 is: 2,414.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.97 : 7,960.86 = 1,609.51 : x
  2. Step 2: Convert to fraction form
    5,306.97/7,960.86 = 1,609.51/x
  3. Step 3: Cross multiply
    5,306.97x = 7,960.86 × 1,609.51
  4. Step 4: Simplify right side
    5,306.97x = 12,813,043.97
  5. Step 5: Solve for x
    x = 12,813,043.97/5,306.97
  6. Step 6: Final answer
    x = 2,414.38

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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.