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Finding the Fourth Proportional to 5,742.23, 8,608.28 and 3,396.47

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Solution

The fourth proportional to 5,742.23, 8,608.28 and 3,396.47 is: 5,091.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,742.23 : 8,608.28 = 3,396.47 : x
  2. Step 2: Convert to fraction form
    5,742.23/8,608.28 = 3,396.47/x
  3. Step 3: Cross multiply
    5,742.23x = 8,608.28 × 3,396.47
  4. Step 4: Simplify right side
    5,742.23x = 29,237,704.75
  5. Step 5: Solve for x
    x = 29,237,704.75/5,742.23
  6. Step 6: Final answer
    x = 5,091.70

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Why These Related Problems?

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