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Finding the Fourth Proportional to 5,945.78, 8,205.40 and 3,293

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Solution

The fourth proportional to 5,945.78, 8,205.40 and 3,293 is: 4,544.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,945.78 : 8,205.40 = 3,293 : x
  2. Step 2: Convert to fraction form
    5,945.78/8,205.40 = 3,293/x
  3. Step 3: Cross multiply
    5,945.78x = 8,205.40 × 3,293
  4. Step 4: Simplify right side
    5,945.78x = 27,020,382.20
  5. Step 5: Solve for x
    x = 27,020,382.20/5,945.78
  6. Step 6: Final answer
    x = 4,544.46

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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.