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Finding the Fourth Proportional to 5,942.32, 8,914.36 and 5,577.84

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Solution

The fourth proportional to 5,942.32, 8,914.36 and 5,577.84 is: 8,367.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.32 : 8,914.36 = 5,577.84 : x
  2. Step 2: Convert to fraction form
    5,942.32/8,914.36 = 5,577.84/x
  3. Step 3: Cross multiply
    5,942.32x = 8,914.36 × 5,577.84
  4. Step 4: Simplify right side
    5,942.32x = 49,722,873.78
  5. Step 5: Solve for x
    x = 49,722,873.78/5,942.32
  6. Step 6: Final answer
    x = 8,367.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.