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Finding the Fourth Proportional to 3,772.42, 5,662.23 and 2,314.42

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Solution

The fourth proportional to 3,772.42, 5,662.23 and 2,314.42 is: 3,473.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,772.42 : 5,662.23 = 2,314.42 : x
  2. Step 2: Convert to fraction form
    3,772.42/5,662.23 = 2,314.42/x
  3. Step 3: Cross multiply
    3,772.42x = 5,662.23 × 2,314.42
  4. Step 4: Simplify right side
    3,772.42x = 13,104,778.36
  5. Step 5: Solve for x
    x = 13,104,778.36/3,772.42
  6. Step 6: Final answer
    x = 3,473.84

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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.