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Finding the Fourth Proportional to 4,232.66, 6,353.24 and 3,461.81

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Solution

The fourth proportional to 4,232.66, 6,353.24 and 3,461.81 is: 5,196.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.66 : 6,353.24 = 3,461.81 : x
  2. Step 2: Convert to fraction form
    4,232.66/6,353.24 = 3,461.81/x
  3. Step 3: Cross multiply
    4,232.66x = 6,353.24 × 3,461.81
  4. Step 4: Simplify right side
    4,232.66x = 21,993,660.69
  5. Step 5: Solve for x
    x = 21,993,660.69/4,232.66
  6. Step 6: Final answer
    x = 5,196.19

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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.