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Finding the Fourth Proportional to 4,185.99, 5,780.97 and 3,623.76

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Solution

The fourth proportional to 4,185.99, 5,780.97 and 3,623.76 is: 5,004.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.99 : 5,780.97 = 3,623.76 : x
  2. Step 2: Convert to fraction form
    4,185.99/5,780.97 = 3,623.76/x
  3. Step 3: Cross multiply
    4,185.99x = 5,780.97 × 3,623.76
  4. Step 4: Simplify right side
    4,185.99x = 20,948,847.85
  5. Step 5: Solve for x
    x = 20,948,847.85/4,185.99
  6. Step 6: Final answer
    x = 5,004.51

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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.