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Finding the Fourth Proportional to 5,952.13, 8,214.16 and 3,299.48

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Solution

The fourth proportional to 5,952.13, 8,214.16 and 3,299.48 is: 4,553.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952.13 : 8,214.16 = 3,299.48 : x
  2. Step 2: Convert to fraction form
    5,952.13/8,214.16 = 3,299.48/x
  3. Step 3: Cross multiply
    5,952.13x = 8,214.16 × 3,299.48
  4. Step 4: Simplify right side
    5,952.13x = 27,102,490.51
  5. Step 5: Solve for x
    x = 27,102,490.51/5,952.13
  6. Step 6: Final answer
    x = 4,553.41

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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.