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Finding the Fourth Proportional to 3,398.24, 5,096.52 and 932.94

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Solution

The fourth proportional to 3,398.24, 5,096.52 and 932.94 is: 1,399.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.24 : 5,096.52 = 932.94 : x
  2. Step 2: Convert to fraction form
    3,398.24/5,096.52 = 932.94/x
  3. Step 3: Cross multiply
    3,398.24x = 5,096.52 × 932.94
  4. Step 4: Simplify right side
    3,398.24x = 4,754,747.37
  5. Step 5: Solve for x
    x = 4,754,747.37/3,398.24
  6. Step 6: Final answer
    x = 1,399.18

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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.