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Finding the Fourth Proportional to 4,162.06, 6,225.99 and 3,797.10

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Solution

The fourth proportional to 4,162.06, 6,225.99 and 3,797.10 is: 5,680.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,162.06 : 6,225.99 = 3,797.10 : x
  2. Step 2: Convert to fraction form
    4,162.06/6,225.99 = 3,797.10/x
  3. Step 3: Cross multiply
    4,162.06x = 6,225.99 × 3,797.10
  4. Step 4: Simplify right side
    4,162.06x = 23,640,706.63
  5. Step 5: Solve for x
    x = 23,640,706.63/4,162.06
  6. Step 6: Final answer
    x = 5,680.05

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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.