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Finding the Fourth Proportional to 3,519.31, 5,279.27 and 922.25

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Solution

The fourth proportional to 3,519.31, 5,279.27 and 922.25 is: 1,383.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.31 : 5,279.27 = 922.25 : x
  2. Step 2: Convert to fraction form
    3,519.31/5,279.27 = 922.25/x
  3. Step 3: Cross multiply
    3,519.31x = 5,279.27 × 922.25
  4. Step 4: Simplify right side
    3,519.31x = 4,868,806.76
  5. Step 5: Solve for x
    x = 4,868,806.76/3,519.31
  6. Step 6: Final answer
    x = 1,383.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.