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Finding the Fourth Proportional to 5,538.44, 8,298.44 and 3,976.11

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Solution

The fourth proportional to 5,538.44, 8,298.44 and 3,976.11 is: 5,957.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.44 : 8,298.44 = 3,976.11 : x
  2. Step 2: Convert to fraction form
    5,538.44/8,298.44 = 3,976.11/x
  3. Step 3: Cross multiply
    5,538.44x = 8,298.44 × 3,976.11
  4. Step 4: Simplify right side
    5,538.44x = 32,995,448.90
  5. Step 5: Solve for x
    x = 32,995,448.90/5,538.44
  6. Step 6: Final answer
    x = 5,957.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.