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Finding the Fourth Proportional to 4,404.34, 6,074.49 and 3,743.38

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Solution

The fourth proportional to 4,404.34, 6,074.49 and 3,743.38 is: 5,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,404.34 : 6,074.49 = 3,743.38 : x
  2. Step 2: Convert to fraction form
    4,404.34/6,074.49 = 3,743.38/x
  3. Step 3: Cross multiply
    4,404.34x = 6,074.49 × 3,743.38
  4. Step 4: Simplify right side
    4,404.34x = 22,739,124.38
  5. Step 5: Solve for x
    x = 22,739,124.38/4,404.34
  6. Step 6: Final answer
    x = 5,162.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.