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Finding the Fourth Proportional to 4,226.65, 5,834.14 and 2,968.01

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Solution

The fourth proportional to 4,226.65, 5,834.14 and 2,968.01 is: 4,096.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.65 : 5,834.14 = 2,968.01 : x
  2. Step 2: Convert to fraction form
    4,226.65/5,834.14 = 2,968.01/x
  3. Step 3: Cross multiply
    4,226.65x = 5,834.14 × 2,968.01
  4. Step 4: Simplify right side
    4,226.65x = 17,315,771.02
  5. Step 5: Solve for x
    x = 17,315,771.02/4,226.65
  6. Step 6: Final answer
    x = 4,096.81

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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.