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Finding the Fourth Proportional to 5,091.57, 7,627.42 and 2,419.36

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Solution

The fourth proportional to 5,091.57, 7,627.42 and 2,419.36 is: 3,624.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,091.57 : 7,627.42 = 2,419.36 : x
  2. Step 2: Convert to fraction form
    5,091.57/7,627.42 = 2,419.36/x
  3. Step 3: Cross multiply
    5,091.57x = 7,627.42 × 2,419.36
  4. Step 4: Simplify right side
    5,091.57x = 18,453,462.75
  5. Step 5: Solve for x
    x = 18,453,462.75/5,091.57
  6. Step 6: Final answer
    x = 3,624.32

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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.