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Finding the Fourth Proportional to 3,984.68, 5,498.96 and 2,216.25

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Solution

The fourth proportional to 3,984.68, 5,498.96 and 2,216.25 is: 3,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.68 : 5,498.96 = 2,216.25 : x
  2. Step 2: Convert to fraction form
    3,984.68/5,498.96 = 2,216.25/x
  3. Step 3: Cross multiply
    3,984.68x = 5,498.96 × 2,216.25
  4. Step 4: Simplify right side
    3,984.68x = 12,187,059.02
  5. Step 5: Solve for x
    x = 12,187,059.02/3,984.68
  6. Step 6: Final answer
    x = 3,058.48

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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.