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Finding the Fourth Proportional to 3,740.41, 5,163.75 and 2,899.23

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Solution

The fourth proportional to 3,740.41, 5,163.75 and 2,899.23 is: 4,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,740.41 : 5,163.75 = 2,899.23 : x
  2. Step 2: Convert to fraction form
    3,740.41/5,163.75 = 2,899.23/x
  3. Step 3: Cross multiply
    3,740.41x = 5,163.75 × 2,899.23
  4. Step 4: Simplify right side
    3,740.41x = 14,970,879.55
  5. Step 5: Solve for x
    x = 14,970,879.55/3,740.41
  6. Step 6: Final answer
    x = 4,002.47

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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.