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Finding the Fourth Proportional to 3,781.86, 5,219.03 and 2,103.34

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Solution

The fourth proportional to 3,781.86, 5,219.03 and 2,103.34 is: 2,902.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.86 : 5,219.03 = 2,103.34 : x
  2. Step 2: Convert to fraction form
    3,781.86/5,219.03 = 2,103.34/x
  3. Step 3: Cross multiply
    3,781.86x = 5,219.03 × 2,103.34
  4. Step 4: Simplify right side
    3,781.86x = 10,977,411.24
  5. Step 5: Solve for x
    x = 10,977,411.24/3,781.86
  6. Step 6: Final answer
    x = 2,902.65

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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.