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Finding the Fourth Proportional to 5,667.14, 7,821.15 and 3,149.74

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Solution

The fourth proportional to 5,667.14, 7,821.15 and 3,149.74 is: 4,346.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.14 : 7,821.15 = 3,149.74 : x
  2. Step 2: Convert to fraction form
    5,667.14/7,821.15 = 3,149.74/x
  3. Step 3: Cross multiply
    5,667.14x = 7,821.15 × 3,149.74
  4. Step 4: Simplify right side
    5,667.14x = 24,634,589.00
  5. Step 5: Solve for x
    x = 24,634,589.00/5,667.14
  6. Step 6: Final answer
    x = 4,346.92

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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.