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Finding the Fourth Proportional to 4,759.78, 7,142.91 and 2,861.75

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Solution

The fourth proportional to 4,759.78, 7,142.91 and 2,861.75 is: 4,294.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,759.78 : 7,142.91 = 2,861.75 : x
  2. Step 2: Convert to fraction form
    4,759.78/7,142.91 = 2,861.75/x
  3. Step 3: Cross multiply
    4,759.78x = 7,142.91 × 2,861.75
  4. Step 4: Simplify right side
    4,759.78x = 20,441,224.50
  5. Step 5: Solve for x
    x = 20,441,224.50/4,759.78
  6. Step 6: Final answer
    x = 4,294.57

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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.