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Finding the Fourth Proportional to 3,796.16, 5,689.58 and 3,104.21

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Solution

The fourth proportional to 3,796.16, 5,689.58 and 3,104.21 is: 4,652.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.16 : 5,689.58 = 3,104.21 : x
  2. Step 2: Convert to fraction form
    3,796.16/5,689.58 = 3,104.21/x
  3. Step 3: Cross multiply
    3,796.16x = 5,689.58 × 3,104.21
  4. Step 4: Simplify right side
    3,796.16x = 17,661,649.83
  5. Step 5: Solve for x
    x = 17,661,649.83/3,796.16
  6. Step 6: Final answer
    x = 4,652.51

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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.