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Finding the Fourth Proportional to 4,768.70, 7,143.32 and 1,994.24

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Solution

The fourth proportional to 4,768.70, 7,143.32 and 1,994.24 is: 2,987.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,768.70 : 7,143.32 = 1,994.24 : x
  2. Step 2: Convert to fraction form
    4,768.70/7,143.32 = 1,994.24/x
  3. Step 3: Cross multiply
    4,768.70x = 7,143.32 × 1,994.24
  4. Step 4: Simplify right side
    4,768.70x = 14,245,517.32
  5. Step 5: Solve for x
    x = 14,245,517.32/4,768.70
  6. Step 6: Final answer
    x = 2,987.30

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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.