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Finding the Fourth Proportional to 3,856.27, 5,784.39 and 1,514.64

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Solution

The fourth proportional to 3,856.27, 5,784.39 and 1,514.64 is: 2,271.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.27 : 5,784.39 = 1,514.64 : x
  2. Step 2: Convert to fraction form
    3,856.27/5,784.39 = 1,514.64/x
  3. Step 3: Cross multiply
    3,856.27x = 5,784.39 × 1,514.64
  4. Step 4: Simplify right side
    3,856.27x = 8,761,243.33
  5. Step 5: Solve for x
    x = 8,761,243.33/3,856.27
  6. Step 6: Final answer
    x = 2,271.95

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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.