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Finding the Fourth Proportional to 4,944.62, 7,416.93 and 1,984.41

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Solution

The fourth proportional to 4,944.62, 7,416.93 and 1,984.41 is: 2,976.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,944.62 : 7,416.93 = 1,984.41 : x
  2. Step 2: Convert to fraction form
    4,944.62/7,416.93 = 1,984.41/x
  3. Step 3: Cross multiply
    4,944.62x = 7,416.93 × 1,984.41
  4. Step 4: Simplify right side
    4,944.62x = 14,718,230.06
  5. Step 5: Solve for x
    x = 14,718,230.06/4,944.62
  6. Step 6: Final answer
    x = 2,976.62

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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.