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Finding the Fourth Proportional to 5,610.77, 7,743.04 and 3,093.14

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Solution

The fourth proportional to 5,610.77, 7,743.04 and 3,093.14 is: 4,268.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.77 : 7,743.04 = 3,093.14 : x
  2. Step 2: Convert to fraction form
    5,610.77/7,743.04 = 3,093.14/x
  3. Step 3: Cross multiply
    5,610.77x = 7,743.04 × 3,093.14
  4. Step 4: Simplify right side
    5,610.77x = 23,950,292.21
  5. Step 5: Solve for x
    x = 23,950,292.21/5,610.77
  6. Step 6: Final answer
    x = 4,268.63

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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.