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Finding the Fourth Proportional to 3,816.02, 5,726.22 and 2,061.02

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Solution

The fourth proportional to 3,816.02, 5,726.22 and 2,061.02 is: 3,092.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.02 : 5,726.22 = 2,061.02 : x
  2. Step 2: Convert to fraction form
    3,816.02/5,726.22 = 2,061.02/x
  3. Step 3: Cross multiply
    3,816.02x = 5,726.22 × 2,061.02
  4. Step 4: Simplify right side
    3,816.02x = 11,801,853.94
  5. Step 5: Solve for x
    x = 11,801,853.94/3,816.02
  6. Step 6: Final answer
    x = 3,092.71

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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.