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Finding the Fourth Proportional to 6,322.88, 8,724.92 and 3,490.43

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Solution

The fourth proportional to 6,322.88, 8,724.92 and 3,490.43 is: 4,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.88 : 8,724.92 = 3,490.43 : x
  2. Step 2: Convert to fraction form
    6,322.88/8,724.92 = 3,490.43/x
  3. Step 3: Cross multiply
    6,322.88x = 8,724.92 × 3,490.43
  4. Step 4: Simplify right side
    6,322.88x = 30,453,661.44
  5. Step 5: Solve for x
    x = 30,453,661.44/6,322.88
  6. Step 6: Final answer
    x = 4,816.42

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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.