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Finding the Fourth Proportional to 3,809.28, 5,258.34 and 3,222.84

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Solution

The fourth proportional to 3,809.28, 5,258.34 and 3,222.84 is: 4,448.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.28 : 5,258.34 = 3,222.84 : x
  2. Step 2: Convert to fraction form
    3,809.28/5,258.34 = 3,222.84/x
  3. Step 3: Cross multiply
    3,809.28x = 5,258.34 × 3,222.84
  4. Step 4: Simplify right side
    3,809.28x = 16,946,788.49
  5. Step 5: Solve for x
    x = 16,946,788.49/3,809.28
  6. Step 6: Final answer
    x = 4,448.82

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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.