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Finding the Fourth Proportional to 5,667.70, 7,821.24 and 3,149.75

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Solution

The fourth proportional to 5,667.70, 7,821.24 and 3,149.75 is: 4,346.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.70 : 7,821.24 = 3,149.75 : x
  2. Step 2: Convert to fraction form
    5,667.70/7,821.24 = 3,149.75/x
  3. Step 3: Cross multiply
    5,667.70x = 7,821.24 × 3,149.75
  4. Step 4: Simplify right side
    5,667.70x = 24,634,950.69
  5. Step 5: Solve for x
    x = 24,634,950.69/5,667.70
  6. Step 6: Final answer
    x = 4,346.55

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1.5x scale

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.