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Finding the Fourth Proportional to 3,759.92, 5,189.96 and 2,189.32

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Solution

The fourth proportional to 3,759.92, 5,189.96 and 2,189.32 is: 3,022.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.92 : 5,189.96 = 2,189.32 : x
  2. Step 2: Convert to fraction form
    3,759.92/5,189.96 = 2,189.32/x
  3. Step 3: Cross multiply
    3,759.92x = 5,189.96 × 2,189.32
  4. Step 4: Simplify right side
    3,759.92x = 11,362,483.23
  5. Step 5: Solve for x
    x = 11,362,483.23/3,759.92
  6. Step 6: Final answer
    x = 3,022.00

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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.