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Finding the Fourth Proportional to 3,370.91, 5,057.45 and 1,638.32

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Solution

The fourth proportional to 3,370.91, 5,057.45 and 1,638.32 is: 2,458.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,370.91 : 5,057.45 = 1,638.32 : x
  2. Step 2: Convert to fraction form
    3,370.91/5,057.45 = 1,638.32/x
  3. Step 3: Cross multiply
    3,370.91x = 5,057.45 × 1,638.32
  4. Step 4: Simplify right side
    3,370.91x = 8,285,713.29
  5. Step 5: Solve for x
    x = 8,285,713.29/3,370.91
  6. Step 6: Final answer
    x = 2,458.00

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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.