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Finding the Fourth Proportional to 5,796.14, 7,994.43 and 3,672.02

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Solution

The fourth proportional to 5,796.14, 7,994.43 and 3,672.02 is: 5,064.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,796.14 : 7,994.43 = 3,672.02 : x
  2. Step 2: Convert to fraction form
    5,796.14/7,994.43 = 3,672.02/x
  3. Step 3: Cross multiply
    5,796.14x = 7,994.43 × 3,672.02
  4. Step 4: Simplify right side
    5,796.14x = 29,355,726.83
  5. Step 5: Solve for x
    x = 29,355,726.83/5,796.14
  6. Step 6: Final answer
    x = 5,064.71

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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.