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Finding the Fourth Proportional to 4,380.81, 6,576.42 and 3,457.01

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Solution

The fourth proportional to 4,380.81, 6,576.42 and 3,457.01 is: 5,189.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,380.81 : 6,576.42 = 3,457.01 : x
  2. Step 2: Convert to fraction form
    4,380.81/6,576.42 = 3,457.01/x
  3. Step 3: Cross multiply
    4,380.81x = 6,576.42 × 3,457.01
  4. Step 4: Simplify right side
    4,380.81x = 22,734,716.82
  5. Step 5: Solve for x
    x = 22,734,716.82/4,380.81
  6. Step 6: Final answer
    x = 5,189.61

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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.