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Finding the Fourth Proportional to 3,782.04, 5,219.10 and 2,103.48

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Solution

The fourth proportional to 3,782.04, 5,219.10 and 2,103.48 is: 2,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.04 : 5,219.10 = 2,103.48 : x
  2. Step 2: Convert to fraction form
    3,782.04/5,219.10 = 2,103.48/x
  3. Step 3: Cross multiply
    3,782.04x = 5,219.10 × 2,103.48
  4. Step 4: Simplify right side
    3,782.04x = 10,978,272.47
  5. Step 5: Solve for x
    x = 10,978,272.47/3,782.04
  6. Step 6: Final answer
    x = 2,902.74

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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.