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Finding the Fourth Proportional to 3,660.30, 5,049 and 2,702.26

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Solution

The fourth proportional to 3,660.30, 5,049 and 2,702.26 is: 3,727.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.30 : 5,049 = 2,702.26 : x
  2. Step 2: Convert to fraction form
    3,660.30/5,049 = 2,702.26/x
  3. Step 3: Cross multiply
    3,660.30x = 5,049 × 2,702.26
  4. Step 4: Simplify right side
    3,660.30x = 13,643,717.05
  5. Step 5: Solve for x
    x = 13,643,717.05/3,660.30
  6. Step 6: Final answer
    x = 3,727.49

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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.