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Finding the Fourth Proportional to 4,233.97, 6,349.89 and 1,892.67

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Solution

The fourth proportional to 4,233.97, 6,349.89 and 1,892.67 is: 2,838.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,233.97 : 6,349.89 = 1,892.67 : x
  2. Step 2: Convert to fraction form
    4,233.97/6,349.89 = 1,892.67/x
  3. Step 3: Cross multiply
    4,233.97x = 6,349.89 × 1,892.67
  4. Step 4: Simplify right side
    4,233.97x = 12,018,229.59
  5. Step 5: Solve for x
    x = 12,018,229.59/4,233.97
  6. Step 6: Final answer
    x = 2,838.52

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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.