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Finding the Fourth Proportional to 5,791.68, 7,987.68 and 4,741.92

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Solution

The fourth proportional to 5,791.68, 7,987.68 and 4,741.92 is: 6,539.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.68 : 7,987.68 = 4,741.92 : x
  2. Step 2: Convert to fraction form
    5,791.68/7,987.68 = 4,741.92/x
  3. Step 3: Cross multiply
    5,791.68x = 7,987.68 × 4,741.92
  4. Step 4: Simplify right side
    5,791.68x = 37,876,939.55
  5. Step 5: Solve for x
    x = 37,876,939.55/5,791.68
  6. Step 6: Final answer
    x = 6,539.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.