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Finding the Fourth Proportional to 3,568.86, 4,924.82 and 1,975.41

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Solution

The fourth proportional to 3,568.86, 4,924.82 and 1,975.41 is: 2,725.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,568.86 : 4,924.82 = 1,975.41 : x
  2. Step 2: Convert to fraction form
    3,568.86/4,924.82 = 1,975.41/x
  3. Step 3: Cross multiply
    3,568.86x = 4,924.82 × 1,975.41
  4. Step 4: Simplify right side
    3,568.86x = 9,728,528.80
  5. Step 5: Solve for x
    x = 9,728,528.80/3,568.86
  6. Step 6: Final answer
    x = 2,725.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.