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Finding the Fourth Proportional to 4,232.80, 6,343.80 and 3,254.06

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Solution

The fourth proportional to 4,232.80, 6,343.80 and 3,254.06 is: 4,876.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.80 : 6,343.80 = 3,254.06 : x
  2. Step 2: Convert to fraction form
    4,232.80/6,343.80 = 3,254.06/x
  3. Step 3: Cross multiply
    4,232.80x = 6,343.80 × 3,254.06
  4. Step 4: Simplify right side
    4,232.80x = 20,643,105.83
  5. Step 5: Solve for x
    x = 20,643,105.83/4,232.80
  6. Step 6: Final answer
    x = 4,876.94

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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.