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Finding the Fourth Proportional to 5,252.67, 7,252.25 and 3,678.03

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Solution

The fourth proportional to 5,252.67, 7,252.25 and 3,678.03 is: 5,078.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.67 : 7,252.25 = 3,678.03 : x
  2. Step 2: Convert to fraction form
    5,252.67/7,252.25 = 3,678.03/x
  3. Step 3: Cross multiply
    5,252.67x = 7,252.25 × 3,678.03
  4. Step 4: Simplify right side
    5,252.67x = 26,673,974.68
  5. Step 5: Solve for x
    x = 26,673,974.68/5,252.67
  6. Step 6: Final answer
    x = 5,078.17

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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.