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Finding the Fourth Proportional to 4,105, 6,157.44 and 1,912.50

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Solution

The fourth proportional to 4,105, 6,157.44 and 1,912.50 is: 2,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105 : 6,157.44 = 1,912.50 : x
  2. Step 2: Convert to fraction form
    4,105/6,157.44 = 1,912.50/x
  3. Step 3: Cross multiply
    4,105x = 6,157.44 × 1,912.50
  4. Step 4: Simplify right side
    4,105x = 11,776,104
  5. Step 5: Solve for x
    x = 11,776,104/4,105
  6. Step 6: Final answer
    x = 2,868.72

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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.