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Finding the Fourth Proportional to 3,768.11, 5,199.93 and 2,089.49

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Solution

The fourth proportional to 3,768.11, 5,199.93 and 2,089.49 is: 2,883.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.11 : 5,199.93 = 2,089.49 : x
  2. Step 2: Convert to fraction form
    3,768.11/5,199.93 = 2,089.49/x
  3. Step 3: Cross multiply
    3,768.11x = 5,199.93 × 2,089.49
  4. Step 4: Simplify right side
    3,768.11x = 10,865,175.74
  5. Step 5: Solve for x
    x = 10,865,175.74/3,768.11
  6. Step 6: Final answer
    x = 2,883.46

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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.