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Finding the Fourth Proportional to 5,228.88, 7,834.44 and 2,592.84

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Solution

The fourth proportional to 5,228.88, 7,834.44 and 2,592.84 is: 3,884.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.88 : 7,834.44 = 2,592.84 : x
  2. Step 2: Convert to fraction form
    5,228.88/7,834.44 = 2,592.84/x
  3. Step 3: Cross multiply
    5,228.88x = 7,834.44 × 2,592.84
  4. Step 4: Simplify right side
    5,228.88x = 20,313,449.41
  5. Step 5: Solve for x
    x = 20,313,449.41/5,228.88
  6. Step 6: Final answer
    x = 3,884.86

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1.5x scale

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.