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Finding the Fourth Proportional to 3,782.16, 5,219.39 and 2,103.53

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Solution

The fourth proportional to 3,782.16, 5,219.39 and 2,103.53 is: 2,902.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.16 : 5,219.39 = 2,103.53 : x
  2. Step 2: Convert to fraction form
    3,782.16/5,219.39 = 2,103.53/x
  3. Step 3: Cross multiply
    3,782.16x = 5,219.39 × 2,103.53
  4. Step 4: Simplify right side
    3,782.16x = 10,979,106.83
  5. Step 5: Solve for x
    x = 10,979,106.83/3,782.16
  6. Step 6: Final answer
    x = 2,902.87

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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.