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Finding the Fourth Proportional to 3,962.98, 5,468.47 and 2,194.14

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Solution

The fourth proportional to 3,962.98, 5,468.47 and 2,194.14 is: 3,027.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.98 : 5,468.47 = 2,194.14 : x
  2. Step 2: Convert to fraction form
    3,962.98/5,468.47 = 2,194.14/x
  3. Step 3: Cross multiply
    3,962.98x = 5,468.47 × 2,194.14
  4. Step 4: Simplify right side
    3,962.98x = 11,998,583.28
  5. Step 5: Solve for x
    x = 11,998,583.28/3,962.98
  6. Step 6: Final answer
    x = 3,027.67

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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.