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Finding the Fourth Proportional to 3,409.47, 5,083.50 and 3,324.42

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Solution

The fourth proportional to 3,409.47, 5,083.50 and 3,324.42 is: 4,956.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.47 : 5,083.50 = 3,324.42 : x
  2. Step 2: Convert to fraction form
    3,409.47/5,083.50 = 3,324.42/x
  3. Step 3: Cross multiply
    3,409.47x = 5,083.50 × 3,324.42
  4. Step 4: Simplify right side
    3,409.47x = 16,899,689.07
  5. Step 5: Solve for x
    x = 16,899,689.07/3,409.47
  6. Step 6: Final answer
    x = 4,956.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.