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Finding the Fourth Proportional to 5,119.60, 7,679.50 and 1,609.54

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Solution

The fourth proportional to 5,119.60, 7,679.50 and 1,609.54 is: 2,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.60 : 7,679.50 = 1,609.54 : x
  2. Step 2: Convert to fraction form
    5,119.60/7,679.50 = 1,609.54/x
  3. Step 3: Cross multiply
    5,119.60x = 7,679.50 × 1,609.54
  4. Step 4: Simplify right side
    5,119.60x = 12,360,454.38
  5. Step 5: Solve for x
    x = 12,360,454.38/5,119.60
  6. Step 6: Final answer
    x = 2,414.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.