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Finding the Fourth Proportional to 3,781.03, 5,218.12 and 2,102.58

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Solution

The fourth proportional to 3,781.03, 5,218.12 and 2,102.58 is: 2,901.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.03 : 5,218.12 = 2,102.58 : x
  2. Step 2: Convert to fraction form
    3,781.03/5,218.12 = 2,102.58/x
  3. Step 3: Cross multiply
    3,781.03x = 5,218.12 × 2,102.58
  4. Step 4: Simplify right side
    3,781.03x = 10,971,514.75
  5. Step 5: Solve for x
    x = 10,971,514.75/3,781.03
  6. Step 6: Final answer
    x = 2,901.73

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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.