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Finding the Fourth Proportional to 5,174.72, 7,756.62 and 2,538.57

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Solution

The fourth proportional to 5,174.72, 7,756.62 and 2,538.57 is: 3,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.72 : 7,756.62 = 2,538.57 : x
  2. Step 2: Convert to fraction form
    5,174.72/7,756.62 = 2,538.57/x
  3. Step 3: Cross multiply
    5,174.72x = 7,756.62 × 2,538.57
  4. Step 4: Simplify right side
    5,174.72x = 19,690,722.83
  5. Step 5: Solve for x
    x = 19,690,722.83/5,174.72
  6. Step 6: Final answer
    x = 3,805.18

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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.