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Finding the Fourth Proportional to 5,965.08, 8,947.32 and 1,805.08

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Solution

The fourth proportional to 5,965.08, 8,947.32 and 1,805.08 is: 2,707.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,965.08 : 8,947.32 = 1,805.08 : x
  2. Step 2: Convert to fraction form
    5,965.08/8,947.32 = 1,805.08/x
  3. Step 3: Cross multiply
    5,965.08x = 8,947.32 × 1,805.08
  4. Step 4: Simplify right side
    5,965.08x = 16,150,628.39
  5. Step 5: Solve for x
    x = 16,150,628.39/5,965.08
  6. Step 6: Final answer
    x = 2,707.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.