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Finding the Fourth Proportional to 3,223.17, 4,447.89 and 1,896.93

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Solution

The fourth proportional to 3,223.17, 4,447.89 and 1,896.93 is: 2,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,223.17 : 4,447.89 = 1,896.93 : x
  2. Step 2: Convert to fraction form
    3,223.17/4,447.89 = 1,896.93/x
  3. Step 3: Cross multiply
    3,223.17x = 4,447.89 × 1,896.93
  4. Step 4: Simplify right side
    3,223.17x = 8,437,335.98
  5. Step 5: Solve for x
    x = 8,437,335.98/3,223.17
  6. Step 6: Final answer
    x = 2,617.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.