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Finding the Fourth Proportional to 3,782, 5,219.16 and 2,126

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Solution

The fourth proportional to 3,782, 5,219.16 and 2,126 is: 2,933.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782 : 5,219.16 = 2,126 : x
  2. Step 2: Convert to fraction form
    3,782/5,219.16 = 2,126/x
  3. Step 3: Cross multiply
    3,782x = 5,219.16 × 2,126
  4. Step 4: Simplify right side
    3,782x = 11,095,934.16
  5. Step 5: Solve for x
    x = 11,095,934.16/3,782
  6. Step 6: Final answer
    x = 2,933.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.