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Finding the Fourth Proportional to 4,302, 6,440.76 and 2,836.68

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Solution

The fourth proportional to 4,302, 6,440.76 and 2,836.68 is: 4,246.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,302 : 6,440.76 = 2,836.68 : x
  2. Step 2: Convert to fraction form
    4,302/6,440.76 = 2,836.68/x
  3. Step 3: Cross multiply
    4,302x = 6,440.76 × 2,836.68
  4. Step 4: Simplify right side
    4,302x = 18,270,375.08
  5. Step 5: Solve for x
    x = 18,270,375.08/4,302
  6. Step 6: Final answer
    x = 4,246.95

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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.