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Finding the Fourth Proportional to 5,896.88, 8,841.78 and 2,777.60

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Solution

The fourth proportional to 5,896.88, 8,841.78 and 2,777.60 is: 4,164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.88 : 8,841.78 = 2,777.60 : x
  2. Step 2: Convert to fraction form
    5,896.88/8,841.78 = 2,777.60/x
  3. Step 3: Cross multiply
    5,896.88x = 8,841.78 × 2,777.60
  4. Step 4: Simplify right side
    5,896.88x = 24,558,928.13
  5. Step 5: Solve for x
    x = 24,558,928.13/5,896.88
  6. Step 6: Final answer
    x = 4,164.73

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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.