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Finding the Fourth Proportional to 5,667.26, 7,821.33 and 3,149.88

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Solution

The fourth proportional to 5,667.26, 7,821.33 and 3,149.88 is: 4,347.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.26 : 7,821.33 = 3,149.88 : x
  2. Step 2: Convert to fraction form
    5,667.26/7,821.33 = 3,149.88/x
  3. Step 3: Cross multiply
    5,667.26x = 7,821.33 × 3,149.88
  4. Step 4: Simplify right side
    5,667.26x = 24,636,235.19
  5. Step 5: Solve for x
    x = 24,636,235.19/5,667.26
  6. Step 6: Final answer
    x = 4,347.12

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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.