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Finding the Fourth Proportional to 5,143.77, 7,716.74 and 1,680.75

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Solution

The fourth proportional to 5,143.77, 7,716.74 and 1,680.75 is: 2,521.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,143.77 : 7,716.74 = 1,680.75 : x
  2. Step 2: Convert to fraction form
    5,143.77/7,716.74 = 1,680.75/x
  3. Step 3: Cross multiply
    5,143.77x = 7,716.74 × 1,680.75
  4. Step 4: Simplify right side
    5,143.77x = 12,969,902.35
  5. Step 5: Solve for x
    x = 12,969,902.35/5,143.77
  6. Step 6: Final answer
    x = 2,521.48

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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.