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Finding the Fourth Proportional to 5,177.53, 7,144.58 and 2,939

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Solution

The fourth proportional to 5,177.53, 7,144.58 and 2,939 is: 4,055.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,177.53 : 7,144.58 = 2,939 : x
  2. Step 2: Convert to fraction form
    5,177.53/7,144.58 = 2,939/x
  3. Step 3: Cross multiply
    5,177.53x = 7,144.58 × 2,939
  4. Step 4: Simplify right side
    5,177.53x = 20,997,920.62
  5. Step 5: Solve for x
    x = 20,997,920.62/5,177.53
  6. Step 6: Final answer
    x = 4,055.59

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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.