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Finding the Fourth Proportional to 3,087.84, 4,622.16 and 2,221.92

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Solution

The fourth proportional to 3,087.84, 4,622.16 and 2,221.92 is: 3,325.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,087.84 : 4,622.16 = 2,221.92 : x
  2. Step 2: Convert to fraction form
    3,087.84/4,622.16 = 2,221.92/x
  3. Step 3: Cross multiply
    3,087.84x = 4,622.16 × 2,221.92
  4. Step 4: Simplify right side
    3,087.84x = 10,270,069.75
  5. Step 5: Solve for x
    x = 10,270,069.75/3,087.84
  6. Step 6: Final answer
    x = 3,325.97

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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.