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Finding the Fourth Proportional to 3,882.11, 5,823.23 and 1,285.11

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Solution

The fourth proportional to 3,882.11, 5,823.23 and 1,285.11 is: 1,927.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,882.11 : 5,823.23 = 1,285.11 : x
  2. Step 2: Convert to fraction form
    3,882.11/5,823.23 = 1,285.11/x
  3. Step 3: Cross multiply
    3,882.11x = 5,823.23 × 1,285.11
  4. Step 4: Simplify right side
    3,882.11x = 7,483,484.68
  5. Step 5: Solve for x
    x = 7,483,484.68/3,882.11
  6. Step 6: Final answer
    x = 1,927.69

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Similar ratio
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1.5x scale

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.