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Finding the Fourth Proportional to 3,451.44, 5,169.96 and 2,865

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Solution

The fourth proportional to 3,451.44, 5,169.96 and 2,865 is: 4,291.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451.44 : 5,169.96 = 2,865 : x
  2. Step 2: Convert to fraction form
    3,451.44/5,169.96 = 2,865/x
  3. Step 3: Cross multiply
    3,451.44x = 5,169.96 × 2,865
  4. Step 4: Simplify right side
    3,451.44x = 14,811,935.40
  5. Step 5: Solve for x
    x = 14,811,935.40/3,451.44
  6. Step 6: Final answer
    x = 4,291.52

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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.