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Finding the Fourth Proportional to 4,121.32, 5,684.22 and 3,649.72

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Solution

The fourth proportional to 4,121.32, 5,684.22 and 3,649.72 is: 5,033.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,121.32 : 5,684.22 = 3,649.72 : x
  2. Step 2: Convert to fraction form
    4,121.32/5,684.22 = 3,649.72/x
  3. Step 3: Cross multiply
    4,121.32x = 5,684.22 × 3,649.72
  4. Step 4: Simplify right side
    4,121.32x = 20,745,811.42
  5. Step 5: Solve for x
    x = 20,745,811.42/4,121.32
  6. Step 6: Final answer
    x = 5,033.78

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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.