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Finding the Fourth Proportional to 6,679.02, 9,219.88 and 4,162.37

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Solution

The fourth proportional to 6,679.02, 9,219.88 and 4,162.37 is: 5,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,679.02 : 9,219.88 = 4,162.37 : x
  2. Step 2: Convert to fraction form
    6,679.02/9,219.88 = 4,162.37/x
  3. Step 3: Cross multiply
    6,679.02x = 9,219.88 × 4,162.37
  4. Step 4: Simplify right side
    6,679.02x = 38,376,539.47
  5. Step 5: Solve for x
    x = 38,376,539.47/6,679.02
  6. Step 6: Final answer
    x = 5,745.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.