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Finding the Fourth Proportional to 3,518.16, 4,857.57 and 2,193

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Solution

The fourth proportional to 3,518.16, 4,857.57 and 2,193 is: 3,027.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,518.16 : 4,857.57 = 2,193 : x
  2. Step 2: Convert to fraction form
    3,518.16/4,857.57 = 2,193/x
  3. Step 3: Cross multiply
    3,518.16x = 4,857.57 × 2,193
  4. Step 4: Simplify right side
    3,518.16x = 10,652,651.01
  5. Step 5: Solve for x
    x = 10,652,651.01/3,518.16
  6. Step 6: Final answer
    x = 3,027.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.