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Finding the Fourth Proportional to 5,297.88, 7,944.78 and 1,786.94

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Solution

The fourth proportional to 5,297.88, 7,944.78 and 1,786.94 is: 2,679.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,297.88 : 7,944.78 = 1,786.94 : x
  2. Step 2: Convert to fraction form
    5,297.88/7,944.78 = 1,786.94/x
  3. Step 3: Cross multiply
    5,297.88x = 7,944.78 × 1,786.94
  4. Step 4: Simplify right side
    5,297.88x = 14,196,845.17
  5. Step 5: Solve for x
    x = 14,196,845.17/5,297.88
  6. Step 6: Final answer
    x = 2,679.72

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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.