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Finding the Fourth Proportional to 4,761.99, 7,130.57 and 3,832.47

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Solution

The fourth proportional to 4,761.99, 7,130.57 and 3,832.47 is: 5,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.99 : 7,130.57 = 3,832.47 : x
  2. Step 2: Convert to fraction form
    4,761.99/7,130.57 = 3,832.47/x
  3. Step 3: Cross multiply
    4,761.99x = 7,130.57 × 3,832.47
  4. Step 4: Simplify right side
    4,761.99x = 27,327,676.45
  5. Step 5: Solve for x
    x = 27,327,676.45/4,761.99
  6. Step 6: Final answer
    x = 5,738.71

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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.