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Finding the Fourth Proportional to 3,725.92, 5,589.75 and 1,093.32

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Solution

The fourth proportional to 3,725.92, 5,589.75 and 1,093.32 is: 1,640.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.92 : 5,589.75 = 1,093.32 : x
  2. Step 2: Convert to fraction form
    3,725.92/5,589.75 = 1,093.32/x
  3. Step 3: Cross multiply
    3,725.92x = 5,589.75 × 1,093.32
  4. Step 4: Simplify right side
    3,725.92x = 6,111,381.37
  5. Step 5: Solve for x
    x = 6,111,381.37/3,725.92
  6. Step 6: Final answer
    x = 1,640.23

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