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Finding the Fourth Proportional to 5,769.67, 8,654.51 and 1,609.69

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Solution

The fourth proportional to 5,769.67, 8,654.51 and 1,609.69 is: 2,414.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.67 : 8,654.51 = 1,609.69 : x
  2. Step 2: Convert to fraction form
    5,769.67/8,654.51 = 1,609.69/x
  3. Step 3: Cross multiply
    5,769.67x = 8,654.51 × 1,609.69
  4. Step 4: Simplify right side
    5,769.67x = 13,931,078.20
  5. Step 5: Solve for x
    x = 13,931,078.20/5,769.67
  6. Step 6: Final answer
    x = 2,414.54

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Similar ratio
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1.5x scale

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.