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Finding the Fourth Proportional to 5,173.67, 7,762.38 and 2,540.90

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Solution

The fourth proportional to 5,173.67, 7,762.38 and 2,540.90 is: 3,812.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,173.67 : 7,762.38 = 2,540.90 : x
  2. Step 2: Convert to fraction form
    5,173.67/7,762.38 = 2,540.90/x
  3. Step 3: Cross multiply
    5,173.67x = 7,762.38 × 2,540.90
  4. Step 4: Simplify right side
    5,173.67x = 19,723,392.53
  5. Step 5: Solve for x
    x = 19,723,392.53/5,173.67
  6. Step 6: Final answer
    x = 3,812.27

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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.