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Finding the Fourth Proportional to 4,218.22, 6,326.65 and 1,296.53

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Solution

The fourth proportional to 4,218.22, 6,326.65 and 1,296.53 is: 1,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,218.22 : 6,326.65 = 1,296.53 : x
  2. Step 2: Convert to fraction form
    4,218.22/6,326.65 = 1,296.53/x
  3. Step 3: Cross multiply
    4,218.22x = 6,326.65 × 1,296.53
  4. Step 4: Simplify right side
    4,218.22x = 8,202,653.41
  5. Step 5: Solve for x
    x = 8,202,653.41/4,218.22
  6. Step 6: Final answer
    x = 1,944.58

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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.