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Finding the Fourth Proportional to 4,578.75, 6,871.23 and 1,805.49

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Solution

The fourth proportional to 4,578.75, 6,871.23 and 1,805.49 is: 2,709.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.75 : 6,871.23 = 1,805.49 : x
  2. Step 2: Convert to fraction form
    4,578.75/6,871.23 = 1,805.49/x
  3. Step 3: Cross multiply
    4,578.75x = 6,871.23 × 1,805.49
  4. Step 4: Simplify right side
    4,578.75x = 12,405,937.05
  5. Step 5: Solve for x
    x = 12,405,937.05/4,578.75
  6. Step 6: Final answer
    x = 2,709.46

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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.