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Finding the Fourth Proportional to 5,171.81, 7,755.03 and 2,538.14

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Solution

The fourth proportional to 5,171.81, 7,755.03 and 2,538.14 is: 3,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,171.81 : 7,755.03 = 2,538.14 : x
  2. Step 2: Convert to fraction form
    5,171.81/7,755.03 = 2,538.14/x
  3. Step 3: Cross multiply
    5,171.81x = 7,755.03 × 2,538.14
  4. Step 4: Simplify right side
    5,171.81x = 19,683,313.07
  5. Step 5: Solve for x
    x = 19,683,313.07/5,171.81
  6. Step 6: Final answer
    x = 3,805.89

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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.