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Finding the Fourth Proportional to 3,740.76, 5,599.27 and 2,092.30

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Solution

The fourth proportional to 3,740.76, 5,599.27 and 2,092.30 is: 3,131.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.76 : 5,599.27 = 2,092.30 : x
  2. Step 2: Convert to fraction form
    3,740.76/5,599.27 = 2,092.30/x
  3. Step 3: Cross multiply
    3,740.76x = 5,599.27 × 2,092.30
  4. Step 4: Simplify right side
    3,740.76x = 11,715,352.62
  5. Step 5: Solve for x
    x = 11,715,352.62/3,740.76
  6. Step 6: Final answer
    x = 3,131.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.