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Finding the Fourth Proportional to 3,794.64, 5,684.64 and 2,146.14

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Solution

The fourth proportional to 3,794.64, 5,684.64 and 2,146.14 is: 3,215.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794.64 : 5,684.64 = 2,146.14 : x
  2. Step 2: Convert to fraction form
    3,794.64/5,684.64 = 2,146.14/x
  3. Step 3: Cross multiply
    3,794.64x = 5,684.64 × 2,146.14
  4. Step 4: Simplify right side
    3,794.64x = 12,200,033.29
  5. Step 5: Solve for x
    x = 12,200,033.29/3,794.64
  6. Step 6: Final answer
    x = 3,215.07

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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.