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Finding the Fourth Proportional to 5,667.46, 7,820.94 and 3,149.56

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Solution

The fourth proportional to 5,667.46, 7,820.94 and 3,149.56 is: 4,346.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.46 : 7,820.94 = 3,149.56 : x
  2. Step 2: Convert to fraction form
    5,667.46/7,820.94 = 3,149.56/x
  3. Step 3: Cross multiply
    5,667.46x = 7,820.94 × 3,149.56
  4. Step 4: Simplify right side
    5,667.46x = 24,632,519.79
  5. Step 5: Solve for x
    x = 24,632,519.79/5,667.46
  6. Step 6: Final answer
    x = 4,346.31

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