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Finding the Fourth Proportional to 3,797.74, 5,240.01 and 2,305.54

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Solution

The fourth proportional to 3,797.74, 5,240.01 and 2,305.54 is: 3,181.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.74 : 5,240.01 = 2,305.54 : x
  2. Step 2: Convert to fraction form
    3,797.74/5,240.01 = 2,305.54/x
  3. Step 3: Cross multiply
    3,797.74x = 5,240.01 × 2,305.54
  4. Step 4: Simplify right side
    3,797.74x = 12,081,052.66
  5. Step 5: Solve for x
    x = 12,081,052.66/3,797.74
  6. Step 6: Final answer
    x = 3,181.12

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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.