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Finding the Fourth Proportional to 5,667.50, 8,493.42 and 3,170

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Solution

The fourth proportional to 5,667.50, 8,493.42 and 3,170 is: 4,750.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,667.50 : 8,493.42 = 3,170 : x
  2. Step 2: Convert to fraction form
    5,667.50/8,493.42 = 3,170/x
  3. Step 3: Cross multiply
    5,667.50x = 8,493.42 × 3,170
  4. Step 4: Simplify right side
    5,667.50x = 26,924,141.40
  5. Step 5: Solve for x
    x = 26,924,141.40/5,667.50
  6. Step 6: Final answer
    x = 4,750.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.