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Finding the Fourth Proportional to 3,992.69, 5,509.97 and 2,291.47

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Solution

The fourth proportional to 3,992.69, 5,509.97 and 2,291.47 is: 3,162.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,992.69 : 5,509.97 = 2,291.47 : x
  2. Step 2: Convert to fraction form
    3,992.69/5,509.97 = 2,291.47/x
  3. Step 3: Cross multiply
    3,992.69x = 5,509.97 × 2,291.47
  4. Step 4: Simplify right side
    3,992.69x = 12,625,958.20
  5. Step 5: Solve for x
    x = 12,625,958.20/3,992.69
  6. Step 6: Final answer
    x = 3,162.27

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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.