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Finding the Fourth Proportional to 5,610.50, 7,742.43 and 3,092.71

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Solution

The fourth proportional to 5,610.50, 7,742.43 and 3,092.71 is: 4,267.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,610.50 : 7,742.43 = 3,092.71 : x
  2. Step 2: Convert to fraction form
    5,610.50/7,742.43 = 3,092.71/x
  3. Step 3: Cross multiply
    5,610.50x = 7,742.43 × 3,092.71
  4. Step 4: Simplify right side
    5,610.50x = 23,945,051.97
  5. Step 5: Solve for x
    x = 23,945,051.97/5,610.50
  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.