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Finding the Fourth Proportional to 3,954.32, 5,456.26 and 3,206.99

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Solution

The fourth proportional to 3,954.32, 5,456.26 and 3,206.99 is: 4,425.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.32 : 5,456.26 = 3,206.99 : x
  2. Step 2: Convert to fraction form
    3,954.32/5,456.26 = 3,206.99/x
  3. Step 3: Cross multiply
    3,954.32x = 5,456.26 × 3,206.99
  4. Step 4: Simplify right side
    3,954.32x = 17,498,188.91
  5. Step 5: Solve for x
    x = 17,498,188.91/3,954.32
  6. Step 6: Final answer
    x = 4,425.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.