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Finding the Fourth Proportional to 4,532.81, 6,796.22 and 2,188.17

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Solution

The fourth proportional to 4,532.81, 6,796.22 and 2,188.17 is: 3,280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,532.81 : 6,796.22 = 2,188.17 : x
  2. Step 2: Convert to fraction form
    4,532.81/6,796.22 = 2,188.17/x
  3. Step 3: Cross multiply
    4,532.81x = 6,796.22 × 2,188.17
  4. Step 4: Simplify right side
    4,532.81x = 14,871,273.78
  5. Step 5: Solve for x
    x = 14,871,273.78/4,532.81
  6. Step 6: Final answer
    x = 3,280.81

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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.