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Finding the Fourth Proportional to 5,189.56, 7,787.31 and 1,902.22

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Solution

The fourth proportional to 5,189.56, 7,787.31 and 1,902.22 is: 2,854.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,189.56 : 7,787.31 = 1,902.22 : x
  2. Step 2: Convert to fraction form
    5,189.56/7,787.31 = 1,902.22/x
  3. Step 3: Cross multiply
    5,189.56x = 7,787.31 × 1,902.22
  4. Step 4: Simplify right side
    5,189.56x = 14,813,176.83
  5. Step 5: Solve for x
    x = 14,813,176.83/5,189.56
  6. Step 6: Final answer
    x = 2,854.42

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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.