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Finding the Fourth Proportional to 4,608.68, 6,913.02 and 1,975.97

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Solution

The fourth proportional to 4,608.68, 6,913.02 and 1,975.97 is: 2,963.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,608.68 : 6,913.02 = 1,975.97 : x
  2. Step 2: Convert to fraction form
    4,608.68/6,913.02 = 1,975.97/x
  3. Step 3: Cross multiply
    4,608.68x = 6,913.02 × 1,975.97
  4. Step 4: Simplify right side
    4,608.68x = 13,659,885.56
  5. Step 5: Solve for x
    x = 13,659,885.56/4,608.68
  6. Step 6: Final answer
    x = 2,963.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.