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Finding the Fourth Proportional to 4,741.77, 7,115.73 and 2,144.73

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Solution

The fourth proportional to 4,741.77, 7,115.73 and 2,144.73 is: 3,218.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.77 : 7,115.73 = 2,144.73 : x
  2. Step 2: Convert to fraction form
    4,741.77/7,115.73 = 2,144.73/x
  3. Step 3: Cross multiply
    4,741.77x = 7,115.73 × 2,144.73
  4. Step 4: Simplify right side
    4,741.77x = 15,261,319.60
  5. Step 5: Solve for x
    x = 15,261,319.60/4,741.77
  6. Step 6: Final answer
    x = 3,218.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.