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Finding the Fourth Proportional to 5,287.36, 7,932.24 and 3,644.56

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Solution

The fourth proportional to 5,287.36, 7,932.24 and 3,644.56 is: 5,467.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,287.36 : 7,932.24 = 3,644.56 : x
  2. Step 2: Convert to fraction form
    5,287.36/7,932.24 = 3,644.56/x
  3. Step 3: Cross multiply
    5,287.36x = 7,932.24 × 3,644.56
  4. Step 4: Simplify right side
    5,287.36x = 28,909,524.61
  5. Step 5: Solve for x
    x = 28,909,524.61/5,287.36
  6. Step 6: Final answer
    x = 5,467.67

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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.