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Finding the Fourth Proportional to 3,218.82, 4,830.03 and 1,758.09

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Solution

The fourth proportional to 3,218.82, 4,830.03 and 1,758.09 is: 2,638.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.82 : 4,830.03 = 1,758.09 : x
  2. Step 2: Convert to fraction form
    3,218.82/4,830.03 = 1,758.09/x
  3. Step 3: Cross multiply
    3,218.82x = 4,830.03 × 1,758.09
  4. Step 4: Simplify right side
    3,218.82x = 8,491,627.44
  5. Step 5: Solve for x
    x = 8,491,627.44/3,218.82
  6. Step 6: Final answer
    x = 2,638.12

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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.