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Finding the Fourth Proportional to 5,252.82, 7,252.23 and 3,266.29

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Solution

The fourth proportional to 5,252.82, 7,252.23 and 3,266.29 is: 4,509.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.82 : 7,252.23 = 3,266.29 : x
  2. Step 2: Convert to fraction form
    5,252.82/7,252.23 = 3,266.29/x
  3. Step 3: Cross multiply
    5,252.82x = 7,252.23 × 3,266.29
  4. Step 4: Simplify right side
    5,252.82x = 23,687,886.33
  5. Step 5: Solve for x
    x = 23,687,886.33/5,252.82
  6. Step 6: Final answer
    x = 4,509.56

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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.