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Finding the Fourth Proportional to 7,189.92, 10,785.90 and 3,027.33

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Solution

The fourth proportional to 7,189.92, 10,785.90 and 3,027.33 is: 4,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,189.92 : 10,785.90 = 3,027.33 : x
  2. Step 2: Convert to fraction form
    7,189.92/10,785.90 = 3,027.33/x
  3. Step 3: Cross multiply
    7,189.92x = 10,785.90 × 3,027.33
  4. Step 4: Simplify right side
    7,189.92x = 32,652,478.65
  5. Step 5: Solve for x
    x = 32,652,478.65/7,189.92
  6. Step 6: Final answer
    x = 4,541.42

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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.