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Finding the Fourth Proportional to 3,773.46, 5,669.42 and 3,563.64

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Solution

The fourth proportional to 3,773.46, 5,669.42 and 3,563.64 is: 5,354.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,773.46 : 5,669.42 = 3,563.64 : x
  2. Step 2: Convert to fraction form
    3,773.46/5,669.42 = 3,563.64/x
  3. Step 3: Cross multiply
    3,773.46x = 5,669.42 × 3,563.64
  4. Step 4: Simplify right side
    3,773.46x = 20,203,754.07
  5. Step 5: Solve for x
    x = 20,203,754.07/3,773.46
  6. Step 6: Final answer
    x = 5,354.17

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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.