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Finding the Fourth Proportional to 3,758.92, 5,188.58 and 2,188.32

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Solution

The fourth proportional to 3,758.92, 5,188.58 and 2,188.32 is: 3,020.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.92 : 5,188.58 = 2,188.32 : x
  2. Step 2: Convert to fraction form
    3,758.92/5,188.58 = 2,188.32/x
  3. Step 3: Cross multiply
    3,758.92x = 5,188.58 × 2,188.32
  4. Step 4: Simplify right side
    3,758.92x = 11,354,273.39
  5. Step 5: Solve for x
    x = 11,354,273.39/3,758.92
  6. Step 6: Final answer
    x = 3,020.62

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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.