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Finding the Fourth Proportional to 4,103.42, 5,662.72 and 2,240.42

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Solution

The fourth proportional to 4,103.42, 5,662.72 and 2,240.42 is: 3,091.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,103.42 : 5,662.72 = 2,240.42 : x
  2. Step 2: Convert to fraction form
    4,103.42/5,662.72 = 2,240.42/x
  3. Step 3: Cross multiply
    4,103.42x = 5,662.72 × 2,240.42
  4. Step 4: Simplify right side
    4,103.42x = 12,686,871.14
  5. Step 5: Solve for x
    x = 12,686,871.14/4,103.42
  6. Step 6: Final answer
    x = 3,091.78

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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.