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Finding the Fourth Proportional to 3,378.96, 5,057.46 and 2,912.40

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Solution

The fourth proportional to 3,378.96, 5,057.46 and 2,912.40 is: 4,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,378.96 : 5,057.46 = 2,912.40 : x
  2. Step 2: Convert to fraction form
    3,378.96/5,057.46 = 2,912.40/x
  3. Step 3: Cross multiply
    3,378.96x = 5,057.46 × 2,912.40
  4. Step 4: Simplify right side
    3,378.96x = 14,729,346.50
  5. Step 5: Solve for x
    x = 14,729,346.50/3,378.96
  6. Step 6: Final answer
    x = 4,359.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.