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Finding the Fourth Proportional to 3,912.52, 5,399.28 and 2,120

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Solution

The fourth proportional to 3,912.52, 5,399.28 and 2,120 is: 2,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.52 : 5,399.28 = 2,120 : x
  2. Step 2: Convert to fraction form
    3,912.52/5,399.28 = 2,120/x
  3. Step 3: Cross multiply
    3,912.52x = 5,399.28 × 2,120
  4. Step 4: Simplify right side
    3,912.52x = 11,446,473.60
  5. Step 5: Solve for x
    x = 11,446,473.60/3,912.52
  6. Step 6: Final answer
    x = 2,925.60

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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.