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Finding the Fourth Proportional to 3,446.08, 5,163.84 and 1,715.68

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Solution

The fourth proportional to 3,446.08, 5,163.84 and 1,715.68 is: 2,570.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.08 : 5,163.84 = 1,715.68 : x
  2. Step 2: Convert to fraction form
    3,446.08/5,163.84 = 1,715.68/x
  3. Step 3: Cross multiply
    3,446.08x = 5,163.84 × 1,715.68
  4. Step 4: Simplify right side
    3,446.08x = 8,859,497.01
  5. Step 5: Solve for x
    x = 8,859,497.01/3,446.08
  6. Step 6: Final answer
    x = 2,570.89

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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.