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Finding the Fourth Proportional to 4,129.05, 6,188.91 and 2,050.50

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Solution

The fourth proportional to 4,129.05, 6,188.91 and 2,050.50 is: 3,073.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,129.05 : 6,188.91 = 2,050.50 : x
  2. Step 2: Convert to fraction form
    4,129.05/6,188.91 = 2,050.50/x
  3. Step 3: Cross multiply
    4,129.05x = 6,188.91 × 2,050.50
  4. Step 4: Simplify right side
    4,129.05x = 12,690,359.96
  5. Step 5: Solve for x
    x = 12,690,359.96/4,129.05
  6. Step 6: Final answer
    x = 3,073.43

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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.