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Finding the Fourth Proportional to 3,769.62, 5,202 and 2,091.03

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Solution

The fourth proportional to 3,769.62, 5,202 and 2,091.03 is: 2,885.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,769.62 : 5,202 = 2,091.03 : x
  2. Step 2: Convert to fraction form
    3,769.62/5,202 = 2,091.03/x
  3. Step 3: Cross multiply
    3,769.62x = 5,202 × 2,091.03
  4. Step 4: Simplify right side
    3,769.62x = 10,877,538.06
  5. Step 5: Solve for x
    x = 10,877,538.06/3,769.62
  6. Step 6: Final answer
    x = 2,885.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.