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Finding the Fourth Proportional to 4,822.29, 6,654.02 and 2,832.66

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Solution

The fourth proportional to 4,822.29, 6,654.02 and 2,832.66 is: 3,908.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,822.29 : 6,654.02 = 2,832.66 : x
  2. Step 2: Convert to fraction form
    4,822.29/6,654.02 = 2,832.66/x
  3. Step 3: Cross multiply
    4,822.29x = 6,654.02 × 2,832.66
  4. Step 4: Simplify right side
    4,822.29x = 18,848,562.13
  5. Step 5: Solve for x
    x = 18,848,562.13/4,822.29
  6. Step 6: Final answer
    x = 3,908.63

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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.