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Finding the Fourth Proportional to 5,610.46, 7,742.49 and 3,092.66

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Solution

The fourth proportional to 5,610.46, 7,742.49 and 3,092.66 is: 4,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.46 : 7,742.49 = 3,092.66 : x
  2. Step 2: Convert to fraction form
    5,610.46/7,742.49 = 3,092.66/x
  3. Step 3: Cross multiply
    5,610.46x = 7,742.49 × 3,092.66
  4. Step 4: Simplify right side
    5,610.46x = 23,944,889.12
  5. Step 5: Solve for x
    x = 23,944,889.12/5,610.46
  6. Step 6: Final answer
    x = 4,267.90

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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.