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Finding the Fourth Proportional to 3,974.04, 5,484.22 and 2,205.70

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Solution

The fourth proportional to 3,974.04, 5,484.22 and 2,205.70 is: 3,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.04 : 5,484.22 = 2,205.70 : x
  2. Step 2: Convert to fraction form
    3,974.04/5,484.22 = 2,205.70/x
  3. Step 3: Cross multiply
    3,974.04x = 5,484.22 × 2,205.70
  4. Step 4: Simplify right side
    3,974.04x = 12,096,544.05
  5. Step 5: Solve for x
    x = 12,096,544.05/3,974.04
  6. Step 6: Final answer
    x = 3,043.89

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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.