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Finding the Fourth Proportional to 4,253.40, 6,380.06 and 1,912.11

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Solution

The fourth proportional to 4,253.40, 6,380.06 and 1,912.11 is: 2,868.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,253.40 : 6,380.06 = 1,912.11 : x
  2. Step 2: Convert to fraction form
    4,253.40/6,380.06 = 1,912.11/x
  3. Step 3: Cross multiply
    4,253.40x = 6,380.06 × 1,912.11
  4. Step 4: Simplify right side
    4,253.40x = 12,199,366.97
  5. Step 5: Solve for x
    x = 12,199,366.97/4,253.40
  6. Step 6: Final answer
    x = 2,868.14

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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.