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Finding the Fourth Proportional to 5,769.67, 8,655.19 and 2,071.59

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Solution

The fourth proportional to 5,769.67, 8,655.19 and 2,071.59 is: 3,107.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.67 : 8,655.19 = 2,071.59 : x
  2. Step 2: Convert to fraction form
    5,769.67/8,655.19 = 2,071.59/x
  3. Step 3: Cross multiply
    5,769.67x = 8,655.19 × 2,071.59
  4. Step 4: Simplify right side
    5,769.67x = 17,930,005.05
  5. Step 5: Solve for x
    x = 17,930,005.05/5,769.67
  6. Step 6: Final answer
    x = 3,107.63

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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.