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Finding the Fourth Proportional to 5,177.50, 7,144.50 and 2,939.47

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Solution

The fourth proportional to 5,177.50, 7,144.50 and 2,939.47 is: 4,056.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.50 : 7,144.50 = 2,939.47 : x
  2. Step 2: Convert to fraction form
    5,177.50/7,144.50 = 2,939.47/x
  3. Step 3: Cross multiply
    5,177.50x = 7,144.50 × 2,939.47
  4. Step 4: Simplify right side
    5,177.50x = 21,001,043.42
  5. Step 5: Solve for x
    x = 21,001,043.42/5,177.50
  6. Step 6: Final answer
    x = 4,056.21

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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.