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Finding the Fourth Proportional to 5,968.80, 8,947.70 and 2,846.84

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Solution

The fourth proportional to 5,968.80, 8,947.70 and 2,846.84 is: 4,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.80 : 8,947.70 = 2,846.84 : x
  2. Step 2: Convert to fraction form
    5,968.80/8,947.70 = 2,846.84/x
  3. Step 3: Cross multiply
    5,968.80x = 8,947.70 × 2,846.84
  4. Step 4: Simplify right side
    5,968.80x = 25,472,670.27
  5. Step 5: Solve for x
    x = 25,472,670.27/5,968.80
  6. Step 6: Final answer
    x = 4,267.64

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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.