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Finding the Fourth Proportional to 5,847.71, 8,772.02 and 1,952.12

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Solution

The fourth proportional to 5,847.71, 8,772.02 and 1,952.12 is: 2,928.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,847.71 : 8,772.02 = 1,952.12 : x
  2. Step 2: Convert to fraction form
    5,847.71/8,772.02 = 1,952.12/x
  3. Step 3: Cross multiply
    5,847.71x = 8,772.02 × 1,952.12
  4. Step 4: Simplify right side
    5,847.71x = 17,123,982.06
  5. Step 5: Solve for x
    x = 17,123,982.06/5,847.71
  6. Step 6: Final answer
    x = 2,928.33

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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.