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Finding the Fourth Proportional to 4,761.46, 7,129.83 and 3,285.23

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Solution

The fourth proportional to 4,761.46, 7,129.83 and 3,285.23 is: 4,919.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.46 : 7,129.83 = 3,285.23 : x
  2. Step 2: Convert to fraction form
    4,761.46/7,129.83 = 3,285.23/x
  3. Step 3: Cross multiply
    4,761.46x = 7,129.83 × 3,285.23
  4. Step 4: Simplify right side
    4,761.46x = 23,423,131.41
  5. Step 5: Solve for x
    x = 23,423,131.41/4,761.46
  6. Step 6: Final answer
    x = 4,919.32

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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.