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Finding the Fourth Proportional to 4,762.74, 7,131.69 and 3,833.22

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Solution

The fourth proportional to 4,762.74, 7,131.69 and 3,833.22 is: 5,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,762.74 : 7,131.69 = 3,833.22 : x
  2. Step 2: Convert to fraction form
    4,762.74/7,131.69 = 3,833.22/x
  3. Step 3: Cross multiply
    4,762.74x = 7,131.69 × 3,833.22
  4. Step 4: Simplify right side
    4,762.74x = 27,337,336.74
  5. Step 5: Solve for x
    x = 27,337,336.74/4,762.74
  6. Step 6: Final answer
    x = 5,739.83

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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.