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Finding the Fourth Proportional to 6,157.43, 9,230.66 and 2,260.92

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Solution

The fourth proportional to 6,157.43, 9,230.66 and 2,260.92 is: 3,389.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.43 : 9,230.66 = 2,260.92 : x
  2. Step 2: Convert to fraction form
    6,157.43/9,230.66 = 2,260.92/x
  3. Step 3: Cross multiply
    6,157.43x = 9,230.66 × 2,260.92
  4. Step 4: Simplify right side
    6,157.43x = 20,869,772.50
  5. Step 5: Solve for x
    x = 20,869,772.50/6,157.43
  6. Step 6: Final answer
    x = 3,389.37

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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.