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Finding the Fourth Proportional to 5,648, 7,794.24 and 3,164

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Solution

The fourth proportional to 5,648, 7,794.24 and 3,164 is: 4,366.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,648 : 7,794.24 = 3,164 : x
  2. Step 2: Convert to fraction form
    5,648/7,794.24 = 3,164/x
  3. Step 3: Cross multiply
    5,648x = 7,794.24 × 3,164
  4. Step 4: Simplify right side
    5,648x = 24,660,975.36
  5. Step 5: Solve for x
    x = 24,660,975.36/5,648
  6. Step 6: Final answer
    x = 4,366.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.