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Finding the Fourth Proportional to 5,769.32, 8,656.80 and 3,577.46

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Solution

The fourth proportional to 5,769.32, 8,656.80 and 3,577.46 is: 5,367.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,769.32 : 8,656.80 = 3,577.46 : x
  2. Step 2: Convert to fraction form
    5,769.32/8,656.80 = 3,577.46/x
  3. Step 3: Cross multiply
    5,769.32x = 8,656.80 × 3,577.46
  4. Step 4: Simplify right side
    5,769.32x = 30,969,355.73
  5. Step 5: Solve for x
    x = 30,969,355.73/5,769.32
  6. Step 6: Final answer
    x = 5,367.94

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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.