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Finding the Fourth Proportional to 5,177.46, 7,144.42 and 2,939.43

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Solution

The fourth proportional to 5,177.46, 7,144.42 and 2,939.43 is: 4,056.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.46 : 7,144.42 = 2,939.43 : x
  2. Step 2: Convert to fraction form
    5,177.46/7,144.42 = 2,939.43/x
  3. Step 3: Cross multiply
    5,177.46x = 7,144.42 × 2,939.43
  4. Step 4: Simplify right side
    5,177.46x = 21,000,522.48
  5. Step 5: Solve for x
    x = 21,000,522.48/5,177.46
  6. Step 6: Final answer
    x = 4,056.14

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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.