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Finding the Fourth Proportional to 4,169.70, 5,752.26 and 2,824.83

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Solution

The fourth proportional to 4,169.70, 5,752.26 and 2,824.83 is: 3,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.70 : 5,752.26 = 2,824.83 : x
  2. Step 2: Convert to fraction form
    4,169.70/5,752.26 = 2,824.83/x
  3. Step 3: Cross multiply
    4,169.70x = 5,752.26 × 2,824.83
  4. Step 4: Simplify right side
    4,169.70x = 16,249,156.62
  5. Step 5: Solve for x
    x = 16,249,156.62/4,169.70
  6. Step 6: Final answer
    x = 3,896.96

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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.