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Finding the Fourth Proportional to 4,195.67, 6,293.07 and 1,274.00

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Solution

The fourth proportional to 4,195.67, 6,293.07 and 1,274.00 is: 1,910.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,195.67 : 6,293.07 = 1,274.00 : x
  2. Step 2: Convert to fraction form
    4,195.67/6,293.07 = 1,274.00/x
  3. Step 3: Cross multiply
    4,195.67x = 6,293.07 × 1,274.00
  4. Step 4: Simplify right side
    4,195.67x = 8,017,339.71
  5. Step 5: Solve for x
    x = 8,017,339.71/4,195.67
  6. Step 6: Final answer
    x = 1,910.86

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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.