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Finding the Fourth Proportional to 5,770.72, 8,645.20 and 2,845.60

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Solution

The fourth proportional to 5,770.72, 8,645.20 and 2,845.60 is: 4,263.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,770.72 : 8,645.20 = 2,845.60 : x
  2. Step 2: Convert to fraction form
    5,770.72/8,645.20 = 2,845.60/x
  3. Step 3: Cross multiply
    5,770.72x = 8,645.20 × 2,845.60
  4. Step 4: Simplify right side
    5,770.72x = 24,600,781.12
  5. Step 5: Solve for x
    x = 24,600,781.12/5,770.72
  6. Step 6: Final answer
    x = 4,263.03

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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.