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Finding the Fourth Proportional to 5,457.78, 8,186.67 and 2,855.25

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Solution

The fourth proportional to 5,457.78, 8,186.67 and 2,855.25 is: 4,282.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,457.78 : 8,186.67 = 2,855.25 : x
  2. Step 2: Convert to fraction form
    5,457.78/8,186.67 = 2,855.25/x
  3. Step 3: Cross multiply
    5,457.78x = 8,186.67 × 2,855.25
  4. Step 4: Simplify right side
    5,457.78x = 23,374,989.52
  5. Step 5: Solve for x
    x = 23,374,989.52/5,457.78
  6. Step 6: Final answer
    x = 4,282.88

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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.