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Finding the Fourth Proportional to 3,637.59, 5,021.78 and 2,839.20

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Solution

The fourth proportional to 3,637.59, 5,021.78 and 2,839.20 is: 3,919.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,637.59 : 5,021.78 = 2,839.20 : x
  2. Step 2: Convert to fraction form
    3,637.59/5,021.78 = 2,839.20/x
  3. Step 3: Cross multiply
    3,637.59x = 5,021.78 × 2,839.20
  4. Step 4: Simplify right side
    3,637.59x = 14,257,837.78
  5. Step 5: Solve for x
    x = 14,257,837.78/3,637.59
  6. Step 6: Final answer
    x = 3,919.58

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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.