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Finding the Fourth Proportional to 4,186.75, 5,777.73 and 2,323.75

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Solution

The fourth proportional to 4,186.75, 5,777.73 and 2,323.75 is: 3,206.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,186.75 : 5,777.73 = 2,323.75 : x
  2. Step 2: Convert to fraction form
    4,186.75/5,777.73 = 2,323.75/x
  3. Step 3: Cross multiply
    4,186.75x = 5,777.73 × 2,323.75
  4. Step 4: Simplify right side
    4,186.75x = 13,426,000.09
  5. Step 5: Solve for x
    x = 13,426,000.09/4,186.75
  6. Step 6: Final answer
    x = 3,206.78

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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.