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Finding the Fourth Proportional to 4,295.09, 6,438.14 and 1,797.71

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Solution

The fourth proportional to 4,295.09, 6,438.14 and 1,797.71 is: 2,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,295.09 : 6,438.14 = 1,797.71 : x
  2. Step 2: Convert to fraction form
    4,295.09/6,438.14 = 1,797.71/x
  3. Step 3: Cross multiply
    4,295.09x = 6,438.14 × 1,797.71
  4. Step 4: Simplify right side
    4,295.09x = 11,573,892.33
  5. Step 5: Solve for x
    x = 11,573,892.33/4,295.09
  6. Step 6: Final answer
    x = 2,694.68

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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.