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Finding the Fourth Proportional to 5,119.38, 7,679.06 and 1,609.37

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Solution

The fourth proportional to 5,119.38, 7,679.06 and 1,609.37 is: 2,414.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.38 : 7,679.06 = 1,609.37 : x
  2. Step 2: Convert to fraction form
    5,119.38/7,679.06 = 1,609.37/x
  3. Step 3: Cross multiply
    5,119.38x = 7,679.06 × 1,609.37
  4. Step 4: Simplify right side
    5,119.38x = 12,358,448.79
  5. Step 5: Solve for x
    x = 12,358,448.79/5,119.38
  6. Step 6: Final answer
    x = 2,414.05

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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.