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Finding the Fourth Proportional to 3,583.96, 4,947.39 and 3,359.78

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Solution

The fourth proportional to 3,583.96, 4,947.39 and 3,359.78 is: 4,637.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.96 : 4,947.39 = 3,359.78 : x
  2. Step 2: Convert to fraction form
    3,583.96/4,947.39 = 3,359.78/x
  3. Step 3: Cross multiply
    3,583.96x = 4,947.39 × 3,359.78
  4. Step 4: Simplify right side
    3,583.96x = 16,622,141.97
  5. Step 5: Solve for x
    x = 16,622,141.97/3,583.96
  6. Step 6: Final answer
    x = 4,637.93

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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.