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Finding the Fourth Proportional to 5,770.56, 8,659.62 and 3,175.32

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Solution

The fourth proportional to 5,770.56, 8,659.62 and 3,175.32 is: 4,765.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.56 : 8,659.62 = 3,175.32 : x
  2. Step 2: Convert to fraction form
    5,770.56/8,659.62 = 3,175.32/x
  3. Step 3: Cross multiply
    5,770.56x = 8,659.62 × 3,175.32
  4. Step 4: Simplify right side
    5,770.56x = 27,497,064.58
  5. Step 5: Solve for x
    x = 27,497,064.58/5,770.56
  6. Step 6: Final answer
    x = 4,765.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.