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Finding the Fourth Proportional to 4,398.43, 6,597.65 and 2,206.64

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Solution

The fourth proportional to 4,398.43, 6,597.65 and 2,206.64 is: 3,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,398.43 : 6,597.65 = 2,206.64 : x
  2. Step 2: Convert to fraction form
    4,398.43/6,597.65 = 2,206.64/x
  3. Step 3: Cross multiply
    4,398.43x = 6,597.65 × 2,206.64
  4. Step 4: Simplify right side
    4,398.43x = 14,558,660.41
  5. Step 5: Solve for x
    x = 14,558,660.41/4,398.43
  6. Step 6: Final answer
    x = 3,309.97

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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.