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Finding the Fourth Proportional to 5,647.31, 7,796.00 and 3,970.15

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Solution

The fourth proportional to 5,647.31, 7,796.00 and 3,970.15 is: 5,480.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.31 : 7,796.00 = 3,970.15 : x
  2. Step 2: Convert to fraction form
    5,647.31/7,796.00 = 3,970.15/x
  3. Step 3: Cross multiply
    5,647.31x = 7,796.00 × 3,970.15
  4. Step 4: Simplify right side
    5,647.31x = 30,951,290.39
  5. Step 5: Solve for x
    x = 30,951,290.39/5,647.31
  6. Step 6: Final answer
    x = 5,480.72

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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.