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Finding the Fourth Proportional to 4,156.87, 5,735.01 and 2,743.21

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Solution

The fourth proportional to 4,156.87, 5,735.01 and 2,743.21 is: 3,784.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.87 : 5,735.01 = 2,743.21 : x
  2. Step 2: Convert to fraction form
    4,156.87/5,735.01 = 2,743.21/x
  3. Step 3: Cross multiply
    4,156.87x = 5,735.01 × 2,743.21
  4. Step 4: Simplify right side
    4,156.87x = 15,732,336.78
  5. Step 5: Solve for x
    x = 15,732,336.78/4,156.87
  6. Step 6: Final answer
    x = 3,784.66

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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.