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Finding the Fourth Proportional to 5,945.42, 8,205 and 3,292.94

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Solution

The fourth proportional to 5,945.42, 8,205 and 3,292.94 is: 4,544.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.42 : 8,205 = 3,292.94 : x
  2. Step 2: Convert to fraction form
    5,945.42/8,205 = 3,292.94/x
  3. Step 3: Cross multiply
    5,945.42x = 8,205 × 3,292.94
  4. Step 4: Simplify right side
    5,945.42x = 27,018,572.70
  5. Step 5: Solve for x
    x = 27,018,572.70/5,945.42
  6. Step 6: Final answer
    x = 4,544.43

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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.