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Finding the Fourth Proportional to 5,922.26, 8,172.59 and 3,404.30

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Solution

The fourth proportional to 5,922.26, 8,172.59 and 3,404.30 is: 4,697.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.26 : 8,172.59 = 3,404.30 : x
  2. Step 2: Convert to fraction form
    5,922.26/8,172.59 = 3,404.30/x
  3. Step 3: Cross multiply
    5,922.26x = 8,172.59 × 3,404.30
  4. Step 4: Simplify right side
    5,922.26x = 27,821,920.90
  5. Step 5: Solve for x
    x = 27,821,920.90/5,922.26
  6. Step 6: Final answer
    x = 4,697.86

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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.