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Finding the Fourth Proportional to 4,296.24, 6,443.88 and 1,218

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Solution

The fourth proportional to 4,296.24, 6,443.88 and 1,218 is: 1,826.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296.24 : 6,443.88 = 1,218 : x
  2. Step 2: Convert to fraction form
    4,296.24/6,443.88 = 1,218/x
  3. Step 3: Cross multiply
    4,296.24x = 6,443.88 × 1,218
  4. Step 4: Simplify right side
    4,296.24x = 7,848,645.84
  5. Step 5: Solve for x
    x = 7,848,645.84/4,296.24
  6. Step 6: Final answer
    x = 1,826.86

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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.