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Finding the Fourth Proportional to 3,782.16, 5,219.67 and 2,103.71

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Solution

The fourth proportional to 3,782.16, 5,219.67 and 2,103.71 is: 2,903.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.16 : 5,219.67 = 2,103.71 : x
  2. Step 2: Convert to fraction form
    3,782.16/5,219.67 = 2,103.71/x
  3. Step 3: Cross multiply
    3,782.16x = 5,219.67 × 2,103.71
  4. Step 4: Simplify right side
    3,782.16x = 10,980,671.98
  5. Step 5: Solve for x
    x = 10,980,671.98/3,782.16
  6. Step 6: Final answer
    x = 2,903.28

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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.