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Finding the Fourth Proportional to 3,866.78, 5,336.19 and 2,188.20

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Solution

The fourth proportional to 3,866.78, 5,336.19 and 2,188.20 is: 3,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,866.78 : 5,336.19 = 2,188.20 : x
  2. Step 2: Convert to fraction form
    3,866.78/5,336.19 = 2,188.20/x
  3. Step 3: Cross multiply
    3,866.78x = 5,336.19 × 2,188.20
  4. Step 4: Simplify right side
    3,866.78x = 11,676,650.96
  5. Step 5: Solve for x
    x = 11,676,650.96/3,866.78
  6. Step 6: Final answer
    x = 3,019.74

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1.5x scale

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.