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Finding the Fourth Proportional to 3,794.84, 5,684.58 and 1,967

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Solution

The fourth proportional to 3,794.84, 5,684.58 and 1,967 is: 2,946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.84 : 5,684.58 = 1,967 : x
  2. Step 2: Convert to fraction form
    3,794.84/5,684.58 = 1,967/x
  3. Step 3: Cross multiply
    3,794.84x = 5,684.58 × 1,967
  4. Step 4: Simplify right side
    3,794.84x = 11,181,568.86
  5. Step 5: Solve for x
    x = 11,181,568.86/3,794.84
  6. Step 6: Final answer
    x = 2,946.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.