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Finding the Fourth Proportional to 5,144.46, 7,716.67 and 1,857.55

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Solution

The fourth proportional to 5,144.46, 7,716.67 and 1,857.55 is: 2,786.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.46 : 7,716.67 = 1,857.55 : x
  2. Step 2: Convert to fraction form
    5,144.46/7,716.67 = 1,857.55/x
  3. Step 3: Cross multiply
    5,144.46x = 7,716.67 × 1,857.55
  4. Step 4: Simplify right side
    5,144.46x = 14,334,100.36
  5. Step 5: Solve for x
    x = 14,334,100.36/5,144.46
  6. Step 6: Final answer
    x = 2,786.32

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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.