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Finding the Fourth Proportional to 4,305.68, 5,944.31 and 3,289.38

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Solution

The fourth proportional to 4,305.68, 5,944.31 and 3,289.38 is: 4,541.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,305.68 : 5,944.31 = 3,289.38 : x
  2. Step 2: Convert to fraction form
    4,305.68/5,944.31 = 3,289.38/x
  3. Step 3: Cross multiply
    4,305.68x = 5,944.31 × 3,289.38
  4. Step 4: Simplify right side
    4,305.68x = 19,553,077.98
  5. Step 5: Solve for x
    x = 19,553,077.98/4,305.68
  6. Step 6: Final answer
    x = 4,541.23

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Why These Related Problems?

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