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Finding the Fourth Proportional to 3,782.57, 5,219.17 and 2,210.36

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Solution

The fourth proportional to 3,782.57, 5,219.17 and 2,210.36 is: 3,049.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.57 : 5,219.17 = 2,210.36 : x
  2. Step 2: Convert to fraction form
    3,782.57/5,219.17 = 2,210.36/x
  3. Step 3: Cross multiply
    3,782.57x = 5,219.17 × 2,210.36
  4. Step 4: Simplify right side
    3,782.57x = 11,536,212.98
  5. Step 5: Solve for x
    x = 11,536,212.98/3,782.57
  6. Step 6: Final answer
    x = 3,049.84

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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.