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Finding the Fourth Proportional to 4,563.96, 6,846.32 and 1,790.43

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Solution

The fourth proportional to 4,563.96, 6,846.32 and 1,790.43 is: 2,685.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,563.96 : 6,846.32 = 1,790.43 : x
  2. Step 2: Convert to fraction form
    4,563.96/6,846.32 = 1,790.43/x
  3. Step 3: Cross multiply
    4,563.96x = 6,846.32 × 1,790.43
  4. Step 4: Simplify right side
    4,563.96x = 12,257,813.53
  5. Step 5: Solve for x
    x = 12,257,813.53/4,563.96
  6. Step 6: Final answer
    x = 2,685.79

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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.