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Finding the Fourth Proportional to 5,097.44, 7,027.89 and 3,419.12

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Solution

The fourth proportional to 5,097.44, 7,027.89 and 3,419.12 is: 4,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,097.44 : 7,027.89 = 3,419.12 : x
  2. Step 2: Convert to fraction form
    5,097.44/7,027.89 = 3,419.12/x
  3. Step 3: Cross multiply
    5,097.44x = 7,027.89 × 3,419.12
  4. Step 4: Simplify right side
    5,097.44x = 24,029,199.26
  5. Step 5: Solve for x
    x = 24,029,199.26/5,097.44
  6. Step 6: Final answer
    x = 4,713.97

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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.