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Finding the Fourth Proportional to 5,816.44, 8,024.04 and 3,457.24

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Solution

The fourth proportional to 5,816.44, 8,024.04 and 3,457.24 is: 4,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.44 : 8,024.04 = 3,457.24 : x
  2. Step 2: Convert to fraction form
    5,816.44/8,024.04 = 3,457.24/x
  3. Step 3: Cross multiply
    5,816.44x = 8,024.04 × 3,457.24
  4. Step 4: Simplify right side
    5,816.44x = 27,741,032.05
  5. Step 5: Solve for x
    x = 27,741,032.05/5,816.44
  6. Step 6: Final answer
    x = 4,769.42

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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.