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Finding the Fourth Proportional to 5,167.25, 7,746.50 and 2,243.34

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Solution

The fourth proportional to 5,167.25, 7,746.50 and 2,243.34 is: 3,363.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.25 : 7,746.50 = 2,243.34 : x
  2. Step 2: Convert to fraction form
    5,167.25/7,746.50 = 2,243.34/x
  3. Step 3: Cross multiply
    5,167.25x = 7,746.50 × 2,243.34
  4. Step 4: Simplify right side
    5,167.25x = 17,378,022.09
  5. Step 5: Solve for x
    x = 17,378,022.09/5,167.25
  6. Step 6: Final answer
    x = 3,363.11

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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.