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Finding the Fourth Proportional to 3,648.30, 5,469.21 and 1,697.82

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Solution

The fourth proportional to 3,648.30, 5,469.21 and 1,697.82 is: 2,545.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648.30 : 5,469.21 = 1,697.82 : x
  2. Step 2: Convert to fraction form
    3,648.30/5,469.21 = 1,697.82/x
  3. Step 3: Cross multiply
    3,648.30x = 5,469.21 × 1,697.82
  4. Step 4: Simplify right side
    3,648.30x = 9,285,734.12
  5. Step 5: Solve for x
    x = 9,285,734.12/3,648.30
  6. Step 6: Final answer
    x = 2,545.22

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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.