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Finding the Fourth Proportional to 3,781.76, 5,218.75 and 2,188.29

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Solution

The fourth proportional to 3,781.76, 5,218.75 and 2,188.29 is: 3,019.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.76 : 5,218.75 = 2,188.29 : x
  2. Step 2: Convert to fraction form
    3,781.76/5,218.75 = 2,188.29/x
  3. Step 3: Cross multiply
    3,781.76x = 5,218.75 × 2,188.29
  4. Step 4: Simplify right side
    3,781.76x = 11,420,127.50
  5. Step 5: Solve for x
    x = 11,420,127.50/3,781.76
  6. Step 6: Final answer
    x = 3,019.79

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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.