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Finding the Fourth Proportional to 5,187.70, 7,164.99 and 3,777.69

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Solution

The fourth proportional to 5,187.70, 7,164.99 and 3,777.69 is: 5,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,187.70 : 7,164.99 = 3,777.69 : x
  2. Step 2: Convert to fraction form
    5,187.70/7,164.99 = 3,777.69/x
  3. Step 3: Cross multiply
    5,187.70x = 7,164.99 × 3,777.69
  4. Step 4: Simplify right side
    5,187.70x = 27,067,111.07
  5. Step 5: Solve for x
    x = 27,067,111.07/5,187.70
  6. Step 6: Final answer
    x = 5,217.56

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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.