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Finding the Fourth Proportional to 3,967.04, 5,946.51 and 1,367.75

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Solution

The fourth proportional to 3,967.04, 5,946.51 and 1,367.75 is: 2,050.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.04 : 5,946.51 = 1,367.75 : x
  2. Step 2: Convert to fraction form
    3,967.04/5,946.51 = 1,367.75/x
  3. Step 3: Cross multiply
    3,967.04x = 5,946.51 × 1,367.75
  4. Step 4: Simplify right side
    3,967.04x = 8,133,339.05
  5. Step 5: Solve for x
    x = 8,133,339.05/3,967.04
  6. Step 6: Final answer
    x = 2,050.23

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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.