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Finding the Fourth Proportional to 4,806.30, 7,204.29 and 2,175.21

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Solution

The fourth proportional to 4,806.30, 7,204.29 and 2,175.21 is: 3,260.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.30 : 7,204.29 = 2,175.21 : x
  2. Step 2: Convert to fraction form
    4,806.30/7,204.29 = 2,175.21/x
  3. Step 3: Cross multiply
    4,806.30x = 7,204.29 × 2,175.21
  4. Step 4: Simplify right side
    4,806.30x = 15,670,843.65
  5. Step 5: Solve for x
    x = 15,670,843.65/4,806.30
  6. Step 6: Final answer
    x = 3,260.48

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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.