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Finding the Fourth Proportional to 5,649.31, 7,796.35 and 3,131.70

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Solution

The fourth proportional to 5,649.31, 7,796.35 and 3,131.70 is: 4,321.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,649.31 : 7,796.35 = 3,131.70 : x
  2. Step 2: Convert to fraction form
    5,649.31/7,796.35 = 3,131.70/x
  3. Step 3: Cross multiply
    5,649.31x = 7,796.35 × 3,131.70
  4. Step 4: Simplify right side
    5,649.31x = 24,415,829.30
  5. Step 5: Solve for x
    x = 24,415,829.30/5,649.31
  6. Step 6: Final answer
    x = 4,321.91

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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.