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Finding the Fourth Proportional to 3,286.33, 4,538.09 and 3,056.70

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Solution

The fourth proportional to 3,286.33, 4,538.09 and 3,056.70 is: 4,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.33 : 4,538.09 = 3,056.70 : x
  2. Step 2: Convert to fraction form
    3,286.33/4,538.09 = 3,056.70/x
  3. Step 3: Cross multiply
    3,286.33x = 4,538.09 × 3,056.70
  4. Step 4: Simplify right side
    3,286.33x = 13,871,579.70
  5. Step 5: Solve for x
    x = 13,871,579.70/3,286.33
  6. Step 6: Final answer
    x = 4,220.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.