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Finding the Fourth Proportional to 4,098.88, 6,150 and 1,906.24

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Solution

The fourth proportional to 4,098.88, 6,150 and 1,906.24 is: 2,860.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,098.88 : 6,150 = 1,906.24 : x
  2. Step 2: Convert to fraction form
    4,098.88/6,150 = 1,906.24/x
  3. Step 3: Cross multiply
    4,098.88x = 6,150 × 1,906.24
  4. Step 4: Simplify right side
    4,098.88x = 11,723,376
  5. Step 5: Solve for x
    x = 11,723,376/4,098.88
  6. Step 6: Final answer
    x = 2,860.14

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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.