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Finding the Fourth Proportional to 3,790.94, 5,682.95 and 3,209.69

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Solution

The fourth proportional to 3,790.94, 5,682.95 and 3,209.69 is: 4,811.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,790.94 : 5,682.95 = 3,209.69 : x
  2. Step 2: Convert to fraction form
    3,790.94/5,682.95 = 3,209.69/x
  3. Step 3: Cross multiply
    3,790.94x = 5,682.95 × 3,209.69
  4. Step 4: Simplify right side
    3,790.94x = 18,240,505.94
  5. Step 5: Solve for x
    x = 18,240,505.94/3,790.94
  6. Step 6: Final answer
    x = 4,811.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.