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Finding the Fourth Proportional to 4,883.54, 6,738.08 and 2,894

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Solution

The fourth proportional to 4,883.54, 6,738.08 and 2,894 is: 3,993.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,883.54 : 6,738.08 = 2,894 : x
  2. Step 2: Convert to fraction form
    4,883.54/6,738.08 = 2,894/x
  3. Step 3: Cross multiply
    4,883.54x = 6,738.08 × 2,894
  4. Step 4: Simplify right side
    4,883.54x = 19,500,003.52
  5. Step 5: Solve for x
    x = 19,500,003.52/4,883.54
  6. Step 6: Final answer
    x = 3,993.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.