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Finding the Fourth Proportional to 4,113.69, 5,674.96 and 2,857.68

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Solution

The fourth proportional to 4,113.69, 5,674.96 and 2,857.68 is: 3,942.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113.69 : 5,674.96 = 2,857.68 : x
  2. Step 2: Convert to fraction form
    4,113.69/5,674.96 = 2,857.68/x
  3. Step 3: Cross multiply
    4,113.69x = 5,674.96 × 2,857.68
  4. Step 4: Simplify right side
    4,113.69x = 16,217,223.26
  5. Step 5: Solve for x
    x = 16,217,223.26/4,113.69
  6. Step 6: Final answer
    x = 3,942.26

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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.