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Finding the Fourth Proportional to 5,494.77, 8,242.16 and 3,649.49

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Solution

The fourth proportional to 5,494.77, 8,242.16 and 3,649.49 is: 5,474.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,494.77 : 8,242.16 = 3,649.49 : x
  2. Step 2: Convert to fraction form
    5,494.77/8,242.16 = 3,649.49/x
  3. Step 3: Cross multiply
    5,494.77x = 8,242.16 × 3,649.49
  4. Step 4: Simplify right side
    5,494.77x = 30,079,651.95
  5. Step 5: Solve for x
    x = 30,079,651.95/5,494.77
  6. Step 6: Final answer
    x = 5,474.23

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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.