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Finding the Fourth Proportional to 3,164.94, 4,369.68 and 2,832.80

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Solution

The fourth proportional to 3,164.94, 4,369.68 and 2,832.80 is: 3,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,164.94 : 4,369.68 = 2,832.80 : x
  2. Step 2: Convert to fraction form
    3,164.94/4,369.68 = 2,832.80/x
  3. Step 3: Cross multiply
    3,164.94x = 4,369.68 × 2,832.80
  4. Step 4: Simplify right side
    3,164.94x = 12,378,429.50
  5. Step 5: Solve for x
    x = 12,378,429.50/3,164.94
  6. Step 6: Final answer
    x = 3,911.11

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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.