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Finding the Fourth Proportional to 4,107.33, 6,161.03 and 1,767.17

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Solution

The fourth proportional to 4,107.33, 6,161.03 and 1,767.17 is: 2,650.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,107.33 : 6,161.03 = 1,767.17 : x
  2. Step 2: Convert to fraction form
    4,107.33/6,161.03 = 1,767.17/x
  3. Step 3: Cross multiply
    4,107.33x = 6,161.03 × 1,767.17
  4. Step 4: Simplify right side
    4,107.33x = 10,887,607.21
  5. Step 5: Solve for x
    x = 10,887,607.21/4,107.33
  6. Step 6: Final answer
    x = 2,650.77

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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.