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Finding the Fourth Proportional to 4,142.70, 5,716.41 and 2,801.23

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Solution

The fourth proportional to 4,142.70, 5,716.41 and 2,801.23 is: 3,865.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.70 : 5,716.41 = 2,801.23 : x
  2. Step 2: Convert to fraction form
    4,142.70/5,716.41 = 2,801.23/x
  3. Step 3: Cross multiply
    4,142.70x = 5,716.41 × 2,801.23
  4. Step 4: Simplify right side
    4,142.70x = 16,012,986.54
  5. Step 5: Solve for x
    x = 16,012,986.54/4,142.70
  6. Step 6: Final answer
    x = 3,865.35

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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.