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Finding the Fourth Proportional to 5,751.42, 7,937.37 and 4,239.60

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Solution

The fourth proportional to 5,751.42, 7,937.37 and 4,239.60 is: 5,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,751.42 : 7,937.37 = 4,239.60 : x
  2. Step 2: Convert to fraction form
    5,751.42/7,937.37 = 4,239.60/x
  3. Step 3: Cross multiply
    5,751.42x = 7,937.37 × 4,239.60
  4. Step 4: Simplify right side
    5,751.42x = 33,651,273.85
  5. Step 5: Solve for x
    x = 33,651,273.85/5,751.42
  6. Step 6: Final answer
    x = 5,850.95

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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.