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Finding the Fourth Proportional to 3,908.74, 5,393.91 and 2,230.24

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Solution

The fourth proportional to 3,908.74, 5,393.91 and 2,230.24 is: 3,077.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,908.74 : 5,393.91 = 2,230.24 : x
  2. Step 2: Convert to fraction form
    3,908.74/5,393.91 = 2,230.24/x
  3. Step 3: Cross multiply
    3,908.74x = 5,393.91 × 2,230.24
  4. Step 4: Simplify right side
    3,908.74x = 12,029,713.84
  5. Step 5: Solve for x
    x = 12,029,713.84/3,908.74
  6. Step 6: Final answer
    x = 3,077.64

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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.