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Finding the Fourth Proportional to 4,296.58, 6,446.94 and 2,216.68

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Solution

The fourth proportional to 4,296.58, 6,446.94 and 2,216.68 is: 3,326.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.58 : 6,446.94 = 2,216.68 : x
  2. Step 2: Convert to fraction form
    4,296.58/6,446.94 = 2,216.68/x
  3. Step 3: Cross multiply
    4,296.58x = 6,446.94 × 2,216.68
  4. Step 4: Simplify right side
    4,296.58x = 14,290,802.96
  5. Step 5: Solve for x
    x = 14,290,802.96/4,296.58
  6. Step 6: Final answer
    x = 3,326.09

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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.