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Finding the Fourth Proportional to 3,768.13, 5,200.05 and 2,089.57

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Solution

The fourth proportional to 3,768.13, 5,200.05 and 2,089.57 is: 2,883.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,768.13 : 5,200.05 = 2,089.57 : x
  2. Step 2: Convert to fraction form
    3,768.13/5,200.05 = 2,089.57/x
  3. Step 3: Cross multiply
    3,768.13x = 5,200.05 × 2,089.57
  4. Step 4: Simplify right side
    3,768.13x = 10,865,868.48
  5. Step 5: Solve for x
    x = 10,865,868.48/3,768.13
  6. Step 6: Final answer
    x = 2,883.62

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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.