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Finding the Fourth Proportional to 5,237.67, 7,847.28 and 2,767.04

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Solution

The fourth proportional to 5,237.67, 7,847.28 and 2,767.04 is: 4,145.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,237.67 : 7,847.28 = 2,767.04 : x
  2. Step 2: Convert to fraction form
    5,237.67/7,847.28 = 2,767.04/x
  3. Step 3: Cross multiply
    5,237.67x = 7,847.28 × 2,767.04
  4. Step 4: Simplify right side
    5,237.67x = 21,713,727.84
  5. Step 5: Solve for x
    x = 21,713,727.84/5,237.67
  6. Step 6: Final answer
    x = 4,145.68

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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.