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Finding the Fourth Proportional to 5,568.98, 7,682.46 and 3,797.78

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Solution

The fourth proportional to 5,568.98, 7,682.46 and 3,797.78 is: 5,239.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,568.98 : 7,682.46 = 3,797.78 : x
  2. Step 2: Convert to fraction form
    5,568.98/7,682.46 = 3,797.78/x
  3. Step 3: Cross multiply
    5,568.98x = 7,682.46 × 3,797.78
  4. Step 4: Simplify right side
    5,568.98x = 29,176,292.94
  5. Step 5: Solve for x
    x = 29,176,292.94/5,568.98
  6. Step 6: Final answer
    x = 5,239.07

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1.5x scale

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.