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Finding the Fourth Proportional to 3,744.88, 5,613.91 and 2,354

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Solution

The fourth proportional to 3,744.88, 5,613.91 and 2,354 is: 3,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.88 : 5,613.91 = 2,354 : x
  2. Step 2: Convert to fraction form
    3,744.88/5,613.91 = 2,354/x
  3. Step 3: Cross multiply
    3,744.88x = 5,613.91 × 2,354
  4. Step 4: Simplify right side
    3,744.88x = 13,215,144.14
  5. Step 5: Solve for x
    x = 13,215,144.14/3,744.88
  6. Step 6: Final answer
    x = 3,528.86

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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.