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Finding the Fourth Proportional to 3,867.22, 5,798.62 and 1,234.22

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Solution

The fourth proportional to 3,867.22, 5,798.62 and 1,234.22 is: 1,850.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,867.22 : 5,798.62 = 1,234.22 : x
  2. Step 2: Convert to fraction form
    3,867.22/5,798.62 = 1,234.22/x
  3. Step 3: Cross multiply
    3,867.22x = 5,798.62 × 1,234.22
  4. Step 4: Simplify right side
    3,867.22x = 7,156,772.78
  5. Step 5: Solve for x
    x = 7,156,772.78/3,867.22
  6. Step 6: Final answer
    x = 1,850.62

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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.