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Finding the Fourth Proportional to 3,984.71, 5,498.82 and 2,216.28

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Solution

The fourth proportional to 3,984.71, 5,498.82 and 2,216.28 is: 3,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.71 : 5,498.82 = 2,216.28 : x
  2. Step 2: Convert to fraction form
    3,984.71/5,498.82 = 2,216.28/x
  3. Step 3: Cross multiply
    3,984.71x = 5,498.82 × 2,216.28
  4. Step 4: Simplify right side
    3,984.71x = 12,186,904.17
  5. Step 5: Solve for x
    x = 12,186,904.17/3,984.71
  6. Step 6: Final answer
    x = 3,058.42

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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.