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Finding the Fourth Proportional to 6,355.25, 8,770.25 and 3,871.25

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Solution

The fourth proportional to 6,355.25, 8,770.25 and 3,871.25 is: 5,342.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.25 : 8,770.25 = 3,871.25 : x
  2. Step 2: Convert to fraction form
    6,355.25/8,770.25 = 3,871.25/x
  3. Step 3: Cross multiply
    6,355.25x = 8,770.25 × 3,871.25
  4. Step 4: Simplify right side
    6,355.25x = 33,951,810.96
  5. Step 5: Solve for x
    x = 33,951,810.96/6,355.25
  6. Step 6: Final answer
    x = 5,342.33

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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.