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Finding the Fourth Proportional to 3,984.56, 5,498.72 and 2,216.24

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Solution

The fourth proportional to 3,984.56, 5,498.72 and 2,216.24 is: 3,058.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.56 : 5,498.72 = 2,216.24 : x
  2. Step 2: Convert to fraction form
    3,984.56/5,498.72 = 2,216.24/x
  3. Step 3: Cross multiply
    3,984.56x = 5,498.72 × 2,216.24
  4. Step 4: Simplify right side
    3,984.56x = 12,186,483.21
  5. Step 5: Solve for x
    x = 12,186,483.21/3,984.56
  6. Step 6: Final answer
    x = 3,058.43

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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.