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Finding the Fourth Proportional to 3,579.75, 5,369.64 and 2,289.42

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Solution

The fourth proportional to 3,579.75, 5,369.64 and 2,289.42 is: 3,434.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,579.75 : 5,369.64 = 2,289.42 : x
  2. Step 2: Convert to fraction form
    3,579.75/5,369.64 = 2,289.42/x
  3. Step 3: Cross multiply
    3,579.75x = 5,369.64 × 2,289.42
  4. Step 4: Simplify right side
    3,579.75x = 12,293,361.21
  5. Step 5: Solve for x
    x = 12,293,361.21/3,579.75
  6. Step 6: Final answer
    x = 3,434.14

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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.