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Finding the Fourth Proportional to 3,974.22, 5,484.42 and 2,205.72

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Solution

The fourth proportional to 3,974.22, 5,484.42 and 2,205.72 is: 3,043.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.22 : 5,484.42 = 2,205.72 : x
  2. Step 2: Convert to fraction form
    3,974.22/5,484.42 = 2,205.72/x
  3. Step 3: Cross multiply
    3,974.22x = 5,484.42 × 2,205.72
  4. Step 4: Simplify right side
    3,974.22x = 12,097,094.88
  5. Step 5: Solve for x
    x = 12,097,094.88/3,974.22
  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.