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Finding the Fourth Proportional to 3,798.57, 5,240.62 and 2,226.09

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Solution

The fourth proportional to 3,798.57, 5,240.62 and 2,226.09 is: 3,071.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,798.57 : 5,240.62 = 2,226.09 : x
  2. Step 2: Convert to fraction form
    3,798.57/5,240.62 = 2,226.09/x
  3. Step 3: Cross multiply
    3,798.57x = 5,240.62 × 2,226.09
  4. Step 4: Simplify right side
    3,798.57x = 11,666,091.78
  5. Step 5: Solve for x
    x = 11,666,091.78/3,798.57
  6. Step 6: Final answer
    x = 3,071.18

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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.