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Finding the Fourth Proportional to 4,099.50, 6,150.06 and 1,791

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Solution

The fourth proportional to 4,099.50, 6,150.06 and 1,791 is: 2,686.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,099.50 : 6,150.06 = 1,791 : x
  2. Step 2: Convert to fraction form
    4,099.50/6,150.06 = 1,791/x
  3. Step 3: Cross multiply
    4,099.50x = 6,150.06 × 1,791
  4. Step 4: Simplify right side
    4,099.50x = 11,014,757.46
  5. Step 5: Solve for x
    x = 11,014,757.46/4,099.50
  6. Step 6: Final answer
    x = 2,686.85

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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.