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Finding the Fourth Proportional to 5,411.06, 7,462.08 and 3,286.94

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Solution

The fourth proportional to 5,411.06, 7,462.08 and 3,286.94 is: 4,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.06 : 7,462.08 = 3,286.94 : x
  2. Step 2: Convert to fraction form
    5,411.06/7,462.08 = 3,286.94/x
  3. Step 3: Cross multiply
    5,411.06x = 7,462.08 × 3,286.94
  4. Step 4: Simplify right side
    5,411.06x = 24,527,371.92
  5. Step 5: Solve for x
    x = 24,527,371.92/5,411.06
  6. Step 6: Final answer
    x = 4,532.83

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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.