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Finding the Fourth Proportional to 3,728.25, 5,593.19 and 1,419.75

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Solution

The fourth proportional to 3,728.25, 5,593.19 and 1,419.75 is: 2,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.25 : 5,593.19 = 1,419.75 : x
  2. Step 2: Convert to fraction form
    3,728.25/5,593.19 = 1,419.75/x
  3. Step 3: Cross multiply
    3,728.25x = 5,593.19 × 1,419.75
  4. Step 4: Simplify right side
    3,728.25x = 7,940,924.40
  5. Step 5: Solve for x
    x = 7,940,924.40/3,728.25
  6. Step 6: Final answer
    x = 2,129.93

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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.