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Finding the Fourth Proportional to 4,596.75, 6,889.66 and 1,963.44

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Solution

The fourth proportional to 4,596.75, 6,889.66 and 1,963.44 is: 2,942.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,596.75 : 6,889.66 = 1,963.44 : x
  2. Step 2: Convert to fraction form
    4,596.75/6,889.66 = 1,963.44/x
  3. Step 3: Cross multiply
    4,596.75x = 6,889.66 × 1,963.44
  4. Step 4: Simplify right side
    4,596.75x = 13,527,429.12
  5. Step 5: Solve for x
    x = 13,527,429.12/4,596.75
  6. Step 6: Final answer
    x = 2,942.82

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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.