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Finding the Fourth Proportional to 4,914.50, 6,782.01 and 2,706.50

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Solution

The fourth proportional to 4,914.50, 6,782.01 and 2,706.50 is: 3,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,914.50 : 6,782.01 = 2,706.50 : x
  2. Step 2: Convert to fraction form
    4,914.50/6,782.01 = 2,706.50/x
  3. Step 3: Cross multiply
    4,914.50x = 6,782.01 × 2,706.50
  4. Step 4: Simplify right side
    4,914.50x = 18,355,510.07
  5. Step 5: Solve for x
    x = 18,355,510.07/4,914.50
  6. Step 6: Final answer
    x = 3,734.97

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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.