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Finding the Fourth Proportional to 5,791.91, 8,691.64 and 3,602.14

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Solution

The fourth proportional to 5,791.91, 8,691.64 and 3,602.14 is: 5,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.91 : 8,691.64 = 3,602.14 : x
  2. Step 2: Convert to fraction form
    5,791.91/8,691.64 = 3,602.14/x
  3. Step 3: Cross multiply
    5,791.91x = 8,691.64 × 3,602.14
  4. Step 4: Simplify right side
    5,791.91x = 31,308,473.38
  5. Step 5: Solve for x
    x = 31,308,473.38/5,791.91
  6. Step 6: Final answer
    x = 5,405.56

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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.