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Finding the Fourth Proportional to 3,661.77, 5,491.98 and 3,049.41

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Solution

The fourth proportional to 3,661.77, 5,491.98 and 3,049.41 is: 4,573.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.77 : 5,491.98 = 3,049.41 : x
  2. Step 2: Convert to fraction form
    3,661.77/5,491.98 = 3,049.41/x
  3. Step 3: Cross multiply
    3,661.77x = 5,491.98 × 3,049.41
  4. Step 4: Simplify right side
    3,661.77x = 16,747,298.73
  5. Step 5: Solve for x
    x = 16,747,298.73/3,661.77
  6. Step 6: Final answer
    x = 4,573.55

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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.