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Finding the Fourth Proportional to 5,611.13, 7,742.90 and 3,253.43

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Solution

The fourth proportional to 5,611.13, 7,742.90 and 3,253.43 is: 4,489.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,611.13 : 7,742.90 = 3,253.43 : x
  2. Step 2: Convert to fraction form
    5,611.13/7,742.90 = 3,253.43/x
  3. Step 3: Cross multiply
    5,611.13x = 7,742.90 × 3,253.43
  4. Step 4: Simplify right side
    5,611.13x = 25,190,944.43
  5. Step 5: Solve for x
    x = 25,190,944.43/5,611.13
  6. Step 6: Final answer
    x = 4,489.46

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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.