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Finding the Fourth Proportional to 3,821, 5,732.46 and 1,085

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Solution

The fourth proportional to 3,821, 5,732.46 and 1,085 is: 1,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,821 : 5,732.46 = 1,085 : x
  2. Step 2: Convert to fraction form
    3,821/5,732.46 = 1,085/x
  3. Step 3: Cross multiply
    3,821x = 5,732.46 × 1,085
  4. Step 4: Simplify right side
    3,821x = 6,219,719.10
  5. Step 5: Solve for x
    x = 6,219,719.10/3,821
  6. Step 6: Final answer
    x = 1,627.77

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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.