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Finding the Fourth Proportional to 5,065.27, 7,596.07 and 2,143.78

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Solution

The fourth proportional to 5,065.27, 7,596.07 and 2,143.78 is: 3,214.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.27 : 7,596.07 = 2,143.78 : x
  2. Step 2: Convert to fraction form
    5,065.27/7,596.07 = 2,143.78/x
  3. Step 3: Cross multiply
    5,065.27x = 7,596.07 × 2,143.78
  4. Step 4: Simplify right side
    5,065.27x = 16,284,302.94
  5. Step 5: Solve for x
    x = 16,284,302.94/5,065.27
  6. Step 6: Final answer
    x = 3,214.89

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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.