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Finding the Fourth Proportional to 5,625, 8,437.92 and 2,162.28

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Solution

The fourth proportional to 5,625, 8,437.92 and 2,162.28 is: 3,243.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,625 : 8,437.92 = 2,162.28 : x
  2. Step 2: Convert to fraction form
    5,625/8,437.92 = 2,162.28/x
  3. Step 3: Cross multiply
    5,625x = 8,437.92 × 2,162.28
  4. Step 4: Simplify right side
    5,625x = 18,245,145.66
  5. Step 5: Solve for x
    x = 18,245,145.66/5,625
  6. Step 6: Final answer
    x = 3,243.58

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