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Finding the Fourth Proportional to 4,156.55, 5,734.23 and 2,738.42

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Solution

The fourth proportional to 4,156.55, 5,734.23 and 2,738.42 is: 3,777.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,156.55 : 5,734.23 = 2,738.42 : x
  2. Step 2: Convert to fraction form
    4,156.55/5,734.23 = 2,738.42/x
  3. Step 3: Cross multiply
    4,156.55x = 5,734.23 × 2,738.42
  4. Step 4: Simplify right side
    4,156.55x = 15,702,687.75
  5. Step 5: Solve for x
    x = 15,702,687.75/4,156.55
  6. Step 6: Final answer
    x = 3,777.82

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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.