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Finding the Fourth Proportional to 3,832.99, 5,747.96 and 1,492.67

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Solution

The fourth proportional to 3,832.99, 5,747.96 and 1,492.67 is: 2,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,832.99 : 5,747.96 = 1,492.67 : x
  2. Step 2: Convert to fraction form
    3,832.99/5,747.96 = 1,492.67/x
  3. Step 3: Cross multiply
    3,832.99x = 5,747.96 × 1,492.67
  4. Step 4: Simplify right side
    3,832.99x = 8,579,825.55
  5. Step 5: Solve for x
    x = 8,579,825.55/3,832.99
  6. Step 6: Final answer
    x = 2,238.42

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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.