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Finding the Fourth Proportional to 3,647.56, 5,469.24 and 1,697.88

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Solution

The fourth proportional to 3,647.56, 5,469.24 and 1,697.88 is: 2,545.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.56 : 5,469.24 = 1,697.88 : x
  2. Step 2: Convert to fraction form
    3,647.56/5,469.24 = 1,697.88/x
  3. Step 3: Cross multiply
    3,647.56x = 5,469.24 × 1,697.88
  4. Step 4: Simplify right side
    3,647.56x = 9,286,113.21
  5. Step 5: Solve for x
    x = 9,286,113.21/3,647.56
  6. Step 6: Final answer
    x = 2,545.84

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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.