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Finding the Fourth Proportional to 3,816, 5,267.04 and 2,160.96

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Solution

The fourth proportional to 3,816, 5,267.04 and 2,160.96 is: 2,982.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816 : 5,267.04 = 2,160.96 : x
  2. Step 2: Convert to fraction form
    3,816/5,267.04 = 2,160.96/x
  3. Step 3: Cross multiply
    3,816x = 5,267.04 × 2,160.96
  4. Step 4: Simplify right side
    3,816x = 11,381,862.76
  5. Step 5: Solve for x
    x = 11,381,862.76/3,816
  6. Step 6: Final answer
    x = 2,982.67

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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.