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Finding the Fourth Proportional to 5,611.60, 7,742.82 and 3,253.42

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Solution

The fourth proportional to 5,611.60, 7,742.82 and 3,253.42 is: 4,489.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.60 : 7,742.82 = 3,253.42 : x
  2. Step 2: Convert to fraction form
    5,611.60/7,742.82 = 3,253.42/x
  3. Step 3: Cross multiply
    5,611.60x = 7,742.82 × 3,253.42
  4. Step 4: Simplify right side
    5,611.60x = 25,190,645.44
  5. Step 5: Solve for x
    x = 25,190,645.44/5,611.60
  6. Step 6: Final answer
    x = 4,489.03

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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.