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Finding the Fourth Proportional to 4,843.29, 6,682.01 and 3,165.66

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Solution

The fourth proportional to 4,843.29, 6,682.01 and 3,165.66 is: 4,367.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,843.29 : 6,682.01 = 3,165.66 : x
  2. Step 2: Convert to fraction form
    4,843.29/6,682.01 = 3,165.66/x
  3. Step 3: Cross multiply
    4,843.29x = 6,682.01 × 3,165.66
  4. Step 4: Simplify right side
    4,843.29x = 21,152,991.81
  5. Step 5: Solve for x
    x = 21,152,991.81/4,843.29
  6. Step 6: Final answer
    x = 4,367.49

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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.