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Finding the Fourth Proportional to 5,071.56, 7,609.82 and 2,849

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Solution

The fourth proportional to 5,071.56, 7,609.82 and 2,849 is: 4,274.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,071.56 : 7,609.82 = 2,849 : x
  2. Step 2: Convert to fraction form
    5,071.56/7,609.82 = 2,849/x
  3. Step 3: Cross multiply
    5,071.56x = 7,609.82 × 2,849
  4. Step 4: Simplify right side
    5,071.56x = 21,680,377.18
  5. Step 5: Solve for x
    x = 21,680,377.18/5,071.56
  6. Step 6: Final answer
    x = 4,274.89

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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.