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Finding the Fourth Proportional to 3,768.51, 5,200.49 and 2,089.92

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Solution

The fourth proportional to 3,768.51, 5,200.49 and 2,089.92 is: 2,884.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.51 : 5,200.49 = 2,089.92 : x
  2. Step 2: Convert to fraction form
    3,768.51/5,200.49 = 2,089.92/x
  3. Step 3: Cross multiply
    3,768.51x = 5,200.49 × 2,089.92
  4. Step 4: Simplify right side
    3,768.51x = 10,868,597.61
  5. Step 5: Solve for x
    x = 10,868,597.61/3,768.51
  6. Step 6: Final answer
    x = 2,884.06

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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.