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Finding the Fourth Proportional to 5,193.54, 7,790.37 and 2,419.42

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Solution

The fourth proportional to 5,193.54, 7,790.37 and 2,419.42 is: 3,629.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,193.54 : 7,790.37 = 2,419.42 : x
  2. Step 2: Convert to fraction form
    5,193.54/7,790.37 = 2,419.42/x
  3. Step 3: Cross multiply
    5,193.54x = 7,790.37 × 2,419.42
  4. Step 4: Simplify right side
    5,193.54x = 18,848,176.99
  5. Step 5: Solve for x
    x = 18,848,176.99/5,193.54
  6. Step 6: Final answer
    x = 3,629.16

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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.