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Finding the Fourth Proportional to 3,774.62, 5,659.75 and 1,463.42

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Solution

The fourth proportional to 3,774.62, 5,659.75 and 1,463.42 is: 2,194.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.62 : 5,659.75 = 1,463.42 : x
  2. Step 2: Convert to fraction form
    3,774.62/5,659.75 = 1,463.42/x
  3. Step 3: Cross multiply
    3,774.62x = 5,659.75 × 1,463.42
  4. Step 4: Simplify right side
    3,774.62x = 8,282,591.35
  5. Step 5: Solve for x
    x = 8,282,591.35/3,774.62
  6. Step 6: Final answer
    x = 2,194.28

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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.