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Finding the Fourth Proportional to 4,757.41, 7,137.20 and 2,566.09

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Solution

The fourth proportional to 4,757.41, 7,137.20 and 2,566.09 is: 3,849.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,757.41 : 7,137.20 = 2,566.09 : x
  2. Step 2: Convert to fraction form
    4,757.41/7,137.20 = 2,566.09/x
  3. Step 3: Cross multiply
    4,757.41x = 7,137.20 × 2,566.09
  4. Step 4: Simplify right side
    4,757.41x = 18,314,697.55
  5. Step 5: Solve for x
    x = 18,314,697.55/4,757.41
  6. Step 6: Final answer
    x = 3,849.72

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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.