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Finding the Fourth Proportional to 5,175.50, 7,766.42 and 2,057.00

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Solution

The fourth proportional to 5,175.50, 7,766.42 and 2,057.00 is: 3,086.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,175.50 : 7,766.42 = 2,057.00 : x
  2. Step 2: Convert to fraction form
    5,175.50/7,766.42 = 2,057.00/x
  3. Step 3: Cross multiply
    5,175.50x = 7,766.42 × 2,057.00
  4. Step 4: Simplify right side
    5,175.50x = 15,975,476.82
  5. Step 5: Solve for x
    x = 15,975,476.82/5,175.50
  6. Step 6: Final answer
    x = 3,086.75

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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.