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Finding the Fourth Proportional to 3,782.99, 5,217.86 and 2,523.65

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Solution

The fourth proportional to 3,782.99, 5,217.86 and 2,523.65 is: 3,480.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.99 : 5,217.86 = 2,523.65 : x
  2. Step 2: Convert to fraction form
    3,782.99/5,217.86 = 2,523.65/x
  3. Step 3: Cross multiply
    3,782.99x = 5,217.86 × 2,523.65
  4. Step 4: Simplify right side
    3,782.99x = 13,168,013.68
  5. Step 5: Solve for x
    x = 13,168,013.68/3,782.99
  6. Step 6: Final answer
    x = 3,480.85

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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.