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Finding the Fourth Proportional to 5,922.72, 8,170.80 and 3,404.25

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Solution

The fourth proportional to 5,922.72, 8,170.80 and 3,404.25 is: 4,696.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,922.72 : 8,170.80 = 3,404.25 : x
  2. Step 2: Convert to fraction form
    5,922.72/8,170.80 = 3,404.25/x
  3. Step 3: Cross multiply
    5,922.72x = 8,170.80 × 3,404.25
  4. Step 4: Simplify right side
    5,922.72x = 27,815,445.90
  5. Step 5: Solve for x
    x = 27,815,445.90/5,922.72
  6. Step 6: Final answer
    x = 4,696.40

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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.