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Finding the Fourth Proportional to 4,292.37, 6,436.94 and 1,982.25

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Solution

The fourth proportional to 4,292.37, 6,436.94 and 1,982.25 is: 2,972.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,292.37 : 6,436.94 = 1,982.25 : x
  2. Step 2: Convert to fraction form
    4,292.37/6,436.94 = 1,982.25/x
  3. Step 3: Cross multiply
    4,292.37x = 6,436.94 × 1,982.25
  4. Step 4: Simplify right side
    4,292.37x = 12,759,614.40
  5. Step 5: Solve for x
    x = 12,759,614.40/4,292.37
  6. Step 6: Final answer
    x = 2,972.63

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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.