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Finding the Fourth Proportional to 5,193.92, 7,162.74 and 3,422.44

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Solution

The fourth proportional to 5,193.92, 7,162.74 and 3,422.44 is: 4,719.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.92 : 7,162.74 = 3,422.44 : x
  2. Step 2: Convert to fraction form
    5,193.92/7,162.74 = 3,422.44/x
  3. Step 3: Cross multiply
    5,193.92x = 7,162.74 × 3,422.44
  4. Step 4: Simplify right side
    5,193.92x = 24,514,047.89
  5. Step 5: Solve for x
    x = 24,514,047.89/5,193.92
  6. Step 6: Final answer
    x = 4,719.76

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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.