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Finding the Fourth Proportional to 3,709.67, 5,119.33 and 2,008.18

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Solution

The fourth proportional to 3,709.67, 5,119.33 and 2,008.18 is: 2,771.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,709.67 : 5,119.33 = 2,008.18 : x
  2. Step 2: Convert to fraction form
    3,709.67/5,119.33 = 2,008.18/x
  3. Step 3: Cross multiply
    3,709.67x = 5,119.33 × 2,008.18
  4. Step 4: Simplify right side
    3,709.67x = 10,280,541.14
  5. Step 5: Solve for x
    x = 10,280,541.14/3,709.67
  6. Step 6: Final answer
    x = 2,771.28

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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.