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Finding the Fourth Proportional to 4,771.99, 6,586.06 and 2,782.27

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Solution

The fourth proportional to 4,771.99, 6,586.06 and 2,782.27 is: 3,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.99 : 6,586.06 = 2,782.27 : x
  2. Step 2: Convert to fraction form
    4,771.99/6,586.06 = 2,782.27/x
  3. Step 3: Cross multiply
    4,771.99x = 6,586.06 × 2,782.27
  4. Step 4: Simplify right side
    4,771.99x = 18,324,222.17
  5. Step 5: Solve for x
    x = 18,324,222.17/4,771.99
  6. Step 6: Final answer
    x = 3,839.96

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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.