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Finding the Fourth Proportional to 3,971.84, 5,476.82 and 2,479.22

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Solution

The fourth proportional to 3,971.84, 5,476.82 and 2,479.22 is: 3,418.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.84 : 5,476.82 = 2,479.22 : x
  2. Step 2: Convert to fraction form
    3,971.84/5,476.82 = 2,479.22/x
  3. Step 3: Cross multiply
    3,971.84x = 5,476.82 × 2,479.22
  4. Step 4: Simplify right side
    3,971.84x = 13,578,241.68
  5. Step 5: Solve for x
    x = 13,578,241.68/3,971.84
  6. Step 6: Final answer
    x = 3,418.63

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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.