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Finding the Fourth Proportional to 3,950, 5,451.48 and 2,294

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Solution

The fourth proportional to 3,950, 5,451.48 and 2,294 is: 3,166.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,950 : 5,451.48 = 2,294 : x
  2. Step 2: Convert to fraction form
    3,950/5,451.48 = 2,294/x
  3. Step 3: Cross multiply
    3,950x = 5,451.48 × 2,294
  4. Step 4: Simplify right side
    3,950x = 12,505,695.12
  5. Step 5: Solve for x
    x = 12,505,695.12/3,950
  6. Step 6: Final answer
    x = 3,166.00

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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.