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Finding the Fourth Proportional to 3,818, 5,727.72 and 1,766

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Solution

The fourth proportional to 3,818, 5,727.72 and 1,766 is: 2,649.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818 : 5,727.72 = 1,766 : x
  2. Step 2: Convert to fraction form
    3,818/5,727.72 = 1,766/x
  3. Step 3: Cross multiply
    3,818x = 5,727.72 × 1,766
  4. Step 4: Simplify right side
    3,818x = 10,115,153.52
  5. Step 5: Solve for x
    x = 10,115,153.52/3,818
  6. Step 6: Final answer
    x = 2,649.33

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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.