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Finding the Fourth Proportional to 3,658.99, 5,049.03 and 2,065.49

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Solution

The fourth proportional to 3,658.99, 5,049.03 and 2,065.49 is: 2,850.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.99 : 5,049.03 = 2,065.49 : x
  2. Step 2: Convert to fraction form
    3,658.99/5,049.03 = 2,065.49/x
  3. Step 3: Cross multiply
    3,658.99x = 5,049.03 × 2,065.49
  4. Step 4: Simplify right side
    3,658.99x = 10,428,720.97
  5. Step 5: Solve for x
    x = 10,428,720.97/3,658.99
  6. Step 6: Final answer
    x = 2,850.17

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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.