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Finding the Fourth Proportional to 3,745.09, 5,613.08 and 2,649.77

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Solution

The fourth proportional to 3,745.09, 5,613.08 and 2,649.77 is: 3,971.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,745.09 : 5,613.08 = 2,649.77 : x
  2. Step 2: Convert to fraction form
    3,745.09/5,613.08 = 2,649.77/x
  3. Step 3: Cross multiply
    3,745.09x = 5,613.08 × 2,649.77
  4. Step 4: Simplify right side
    3,745.09x = 14,873,370.99
  5. Step 5: Solve for x
    x = 14,873,370.99/3,745.09
  6. Step 6: Final answer
    x = 3,971.43

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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.