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Finding the Fourth Proportional to 5,850.90, 8,777.88 and 2,564.64

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Solution

The fourth proportional to 5,850.90, 8,777.88 and 2,564.64 is: 3,847.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,850.90 : 8,777.88 = 2,564.64 : x
  2. Step 2: Convert to fraction form
    5,850.90/8,777.88 = 2,564.64/x
  3. Step 3: Cross multiply
    5,850.90x = 8,777.88 × 2,564.64
  4. Step 4: Simplify right side
    5,850.90x = 22,512,102.16
  5. Step 5: Solve for x
    x = 22,512,102.16/5,850.90
  6. Step 6: Final answer
    x = 3,847.63

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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.