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Finding the Fourth Proportional to 3,781.42, 5,218.49 and 2,103.00

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Solution

The fourth proportional to 3,781.42, 5,218.49 and 2,103.00 is: 2,902.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.42 : 5,218.49 = 2,103.00 : x
  2. Step 2: Convert to fraction form
    3,781.42/5,218.49 = 2,103.00/x
  3. Step 3: Cross multiply
    3,781.42x = 5,218.49 × 2,103.00
  4. Step 4: Simplify right side
    3,781.42x = 10,974,470.16
  5. Step 5: Solve for x
    x = 10,974,470.16/3,781.42
  6. Step 6: Final answer
    x = 2,902.21

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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.