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Finding the Fourth Proportional to 5,764.80, 8,652.60 and 3,577.80

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Solution

The fourth proportional to 5,764.80, 8,652.60 and 3,577.80 is: 5,370.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.80 : 8,652.60 = 3,577.80 : x
  2. Step 2: Convert to fraction form
    5,764.80/8,652.60 = 3,577.80/x
  3. Step 3: Cross multiply
    5,764.80x = 8,652.60 × 3,577.80
  4. Step 4: Simplify right side
    5,764.80x = 30,957,272.28
  5. Step 5: Solve for x
    x = 30,957,272.28/5,764.80
  6. Step 6: Final answer
    x = 5,370.05

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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.