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Finding the Fourth Proportional to 3,606.42, 4,977.78 and 2,035.44

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Solution

The fourth proportional to 3,606.42, 4,977.78 and 2,035.44 is: 2,809.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,606.42 : 4,977.78 = 2,035.44 : x
  2. Step 2: Convert to fraction form
    3,606.42/4,977.78 = 2,035.44/x
  3. Step 3: Cross multiply
    3,606.42x = 4,977.78 × 2,035.44
  4. Step 4: Simplify right side
    3,606.42x = 10,131,972.52
  5. Step 5: Solve for x
    x = 10,131,972.52/3,606.42
  6. Step 6: Final answer
    x = 2,809.43

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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.