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Finding the Fourth Proportional to 3,747.81, 5,134.43 and 3,607.59

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Solution

The fourth proportional to 3,747.81, 5,134.43 and 3,607.59 is: 4,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.81 : 5,134.43 = 3,607.59 : x
  2. Step 2: Convert to fraction form
    3,747.81/5,134.43 = 3,607.59/x
  3. Step 3: Cross multiply
    3,747.81x = 5,134.43 × 3,607.59
  4. Step 4: Simplify right side
    3,747.81x = 18,522,918.32
  5. Step 5: Solve for x
    x = 18,522,918.32/3,747.81
  6. Step 6: Final answer
    x = 4,942.33

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.