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Finding the Fourth Proportional to 3,964.65, 5,946.78 and 1,367.52

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Solution

The fourth proportional to 3,964.65, 5,946.78 and 1,367.52 is: 2,051.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.65 : 5,946.78 = 1,367.52 : x
  2. Step 2: Convert to fraction form
    3,964.65/5,946.78 = 1,367.52/x
  3. Step 3: Cross multiply
    3,964.65x = 5,946.78 × 1,367.52
  4. Step 4: Simplify right side
    3,964.65x = 8,132,340.59
  5. Step 5: Solve for x
    x = 8,132,340.59/3,964.65
  6. Step 6: Final answer
    x = 2,051.21

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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.