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Finding the Fourth Proportional to 3,885.44, 5,362.60 and 2,206.96

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Solution

The fourth proportional to 3,885.44, 5,362.60 and 2,206.96 is: 3,046.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,885.44 : 5,362.60 = 2,206.96 : x
  2. Step 2: Convert to fraction form
    3,885.44/5,362.60 = 2,206.96/x
  3. Step 3: Cross multiply
    3,885.44x = 5,362.60 × 2,206.96
  4. Step 4: Simplify right side
    3,885.44x = 11,835,043.70
  5. Step 5: Solve for x
    x = 11,835,043.70/3,885.44
  6. Step 6: Final answer
    x = 3,046.00

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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.