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Finding the Fourth Proportional to 6,322.42, 8,724.89 and 3,489.79

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Solution

The fourth proportional to 6,322.42, 8,724.89 and 3,489.79 is: 4,815.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,322.42 : 8,724.89 = 3,489.79 : x
  2. Step 2: Convert to fraction form
    6,322.42/8,724.89 = 3,489.79/x
  3. Step 3: Cross multiply
    6,322.42x = 8,724.89 × 3,489.79
  4. Step 4: Simplify right side
    6,322.42x = 30,448,076.41
  5. Step 5: Solve for x
    x = 30,448,076.41/6,322.42
  6. Step 6: Final answer
    x = 4,815.89

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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.