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Finding the Fourth Proportional to 5,794.21, 7,996.02 and 3,141.63

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Solution

The fourth proportional to 5,794.21, 7,996.02 and 3,141.63 is: 4,335.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.21 : 7,996.02 = 3,141.63 : x
  2. Step 2: Convert to fraction form
    5,794.21/7,996.02 = 3,141.63/x
  3. Step 3: Cross multiply
    5,794.21x = 7,996.02 × 3,141.63
  4. Step 4: Simplify right side
    5,794.21x = 25,120,524.53
  5. Step 5: Solve for x
    x = 25,120,524.53/5,794.21
  6. Step 6: Final answer
    x = 4,335.45

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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.