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Finding the Fourth Proportional to 5,286.72, 7,928.48 and 2,208

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Solution

The fourth proportional to 5,286.72, 7,928.48 and 2,208 is: 3,311.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,286.72 : 7,928.48 = 2,208 : x
  2. Step 2: Convert to fraction form
    5,286.72/7,928.48 = 2,208/x
  3. Step 3: Cross multiply
    5,286.72x = 7,928.48 × 2,208
  4. Step 4: Simplify right side
    5,286.72x = 17,506,083.84
  5. Step 5: Solve for x
    x = 17,506,083.84/5,286.72
  6. Step 6: Final answer
    x = 3,311.33

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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.