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Finding the Fourth Proportional to 3,974.06, 5,484.18 and 2,205.62

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Solution

The fourth proportional to 3,974.06, 5,484.18 and 2,205.62 is: 3,043.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.06 : 5,484.18 = 2,205.62 : x
  2. Step 2: Convert to fraction form
    3,974.06/5,484.18 = 2,205.62/x
  3. Step 3: Cross multiply
    3,974.06x = 5,484.18 × 2,205.62
  4. Step 4: Simplify right side
    3,974.06x = 12,096,017.09
  5. Step 5: Solve for x
    x = 12,096,017.09/3,974.06
  6. Step 6: Final answer
    x = 3,043.74

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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.