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Finding the Fourth Proportional to 4,806.94, 6,633.36 and 2,682.70

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Solution

The fourth proportional to 4,806.94, 6,633.36 and 2,682.70 is: 3,702.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.94 : 6,633.36 = 2,682.70 : x
  2. Step 2: Convert to fraction form
    4,806.94/6,633.36 = 2,682.70/x
  3. Step 3: Cross multiply
    4,806.94x = 6,633.36 × 2,682.70
  4. Step 4: Simplify right side
    4,806.94x = 17,795,314.87
  5. Step 5: Solve for x
    x = 17,795,314.87/4,806.94
  6. Step 6: Final answer
    x = 3,702.00

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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.