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Finding the Fourth Proportional to 3,781.35, 5,218.77 and 2,604

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Solution

The fourth proportional to 3,781.35, 5,218.77 and 2,604 is: 3,593.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.35 : 5,218.77 = 2,604 : x
  2. Step 2: Convert to fraction form
    3,781.35/5,218.77 = 2,604/x
  3. Step 3: Cross multiply
    3,781.35x = 5,218.77 × 2,604
  4. Step 4: Simplify right side
    3,781.35x = 13,589,677.08
  5. Step 5: Solve for x
    x = 13,589,677.08/3,781.35
  6. Step 6: Final answer
    x = 3,593.87

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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.