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Finding the Fourth Proportional to 4,802.67, 6,628.59 and 2,706.80

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Solution

The fourth proportional to 4,802.67, 6,628.59 and 2,706.80 is: 3,735.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,802.67 : 6,628.59 = 2,706.80 : x
  2. Step 2: Convert to fraction form
    4,802.67/6,628.59 = 2,706.80/x
  3. Step 3: Cross multiply
    4,802.67x = 6,628.59 × 2,706.80
  4. Step 4: Simplify right side
    4,802.67x = 17,942,234.27
  5. Step 5: Solve for x
    x = 17,942,234.27/4,802.67
  6. Step 6: Final answer
    x = 3,735.89

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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.