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Finding the Fourth Proportional to 3,219.57, 4,830.48 and 1,757.97

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Solution

The fourth proportional to 3,219.57, 4,830.48 and 1,757.97 is: 2,637.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.57 : 4,830.48 = 1,757.97 : x
  2. Step 2: Convert to fraction form
    3,219.57/4,830.48 = 1,757.97/x
  3. Step 3: Cross multiply
    3,219.57x = 4,830.48 × 1,757.97
  4. Step 4: Simplify right side
    3,219.57x = 8,491,838.93
  5. Step 5: Solve for x
    x = 8,491,838.93/3,219.57
  6. Step 6: Final answer
    x = 2,637.57

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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.