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Finding the Fourth Proportional to 5,171.99, 7,759.35 and 2,706.15

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Solution

The fourth proportional to 5,171.99, 7,759.35 and 2,706.15 is: 4,059.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.99 : 7,759.35 = 2,706.15 : x
  2. Step 2: Convert to fraction form
    5,171.99/7,759.35 = 2,706.15/x
  3. Step 3: Cross multiply
    5,171.99x = 7,759.35 × 2,706.15
  4. Step 4: Simplify right side
    5,171.99x = 20,997,965.00
  5. Step 5: Solve for x
    x = 20,997,965.00/5,171.99
  6. Step 6: Final answer
    x = 4,059.94

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