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Finding the Fourth Proportional to 5,832.20, 8,749.16 and 1,882.14

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Solution

The fourth proportional to 5,832.20, 8,749.16 and 1,882.14 is: 2,823.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,832.20 : 8,749.16 = 1,882.14 : x
  2. Step 2: Convert to fraction form
    5,832.20/8,749.16 = 1,882.14/x
  3. Step 3: Cross multiply
    5,832.20x = 8,749.16 × 1,882.14
  4. Step 4: Simplify right side
    5,832.20x = 16,467,134.59
  5. Step 5: Solve for x
    x = 16,467,134.59/5,832.20
  6. Step 6: Final answer
    x = 2,823.49

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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.