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Finding the Fourth Proportional to 5,744.23, 8,611.27 and 3,398.47

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Solution

The fourth proportional to 5,744.23, 8,611.27 and 3,398.47 is: 5,094.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,744.23 : 8,611.27 = 3,398.47 : x
  2. Step 2: Convert to fraction form
    5,744.23/8,611.27 = 3,398.47/x
  3. Step 3: Cross multiply
    5,744.23x = 8,611.27 × 3,398.47
  4. Step 4: Simplify right side
    5,744.23x = 29,265,142.76
  5. Step 5: Solve for x
    x = 29,265,142.76/5,744.23
  6. Step 6: Final answer
    x = 5,094.70

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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.