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Finding the Fourth Proportional to 3,728.00, 5,144.75 and 2,049.32

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Solution

The fourth proportional to 3,728.00, 5,144.75 and 2,049.32 is: 2,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.00 : 5,144.75 = 2,049.32 : x
  2. Step 2: Convert to fraction form
    3,728.00/5,144.75 = 2,049.32/x
  3. Step 3: Cross multiply
    3,728.00x = 5,144.75 × 2,049.32
  4. Step 4: Simplify right side
    3,728.00x = 10,543,203.10
  5. Step 5: Solve for x
    x = 10,543,203.10/3,728.00
  6. Step 6: Final answer
    x = 2,828.12

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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.