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Finding the Fourth Proportional to 3,794.86, 5,661.29 and 3,692.80

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Solution

The fourth proportional to 3,794.86, 5,661.29 and 3,692.80 is: 5,509.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.86 : 5,661.29 = 3,692.80 : x
  2. Step 2: Convert to fraction form
    3,794.86/5,661.29 = 3,692.80/x
  3. Step 3: Cross multiply
    3,794.86x = 5,661.29 × 3,692.80
  4. Step 4: Simplify right side
    3,794.86x = 20,906,011.71
  5. Step 5: Solve for x
    x = 20,906,011.71/3,794.86
  6. Step 6: Final answer
    x = 5,509.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.