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Finding the Fourth Proportional to 5,190.72, 7,787.63 and 2,419.03

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Solution

The fourth proportional to 5,190.72, 7,787.63 and 2,419.03 is: 3,629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,190.72 : 7,787.63 = 2,419.03 : x
  2. Step 2: Convert to fraction form
    5,190.72/7,787.63 = 2,419.03/x
  3. Step 3: Cross multiply
    5,190.72x = 7,787.63 × 2,419.03
  4. Step 4: Simplify right side
    5,190.72x = 18,838,510.60
  5. Step 5: Solve for x
    x = 18,838,510.60/5,190.72
  6. Step 6: Final answer
    x = 3,629.27

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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.