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Finding the Fourth Proportional to 6,322.26, 8,724.33 and 3,670.50

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Solution

The fourth proportional to 6,322.26, 8,724.33 and 3,670.50 is: 5,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.26 : 8,724.33 = 3,670.50 : x
  2. Step 2: Convert to fraction form
    6,322.26/8,724.33 = 3,670.50/x
  3. Step 3: Cross multiply
    6,322.26x = 8,724.33 × 3,670.50
  4. Step 4: Simplify right side
    6,322.26x = 32,022,653.27
  5. Step 5: Solve for x
    x = 32,022,653.27/6,322.26
  6. Step 6: Final answer
    x = 5,065.06

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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.