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Finding the Fourth Proportional to 3,979.36, 5,975.37 and 3,284.50

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Solution

The fourth proportional to 3,979.36, 5,975.37 and 3,284.50 is: 4,931.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,979.36 : 5,975.37 = 3,284.50 : x
  2. Step 2: Convert to fraction form
    3,979.36/5,975.37 = 3,284.50/x
  3. Step 3: Cross multiply
    3,979.36x = 5,975.37 × 3,284.50
  4. Step 4: Simplify right side
    3,979.36x = 19,626,102.77
  5. Step 5: Solve for x
    x = 19,626,102.77/3,979.36
  6. Step 6: Final answer
    x = 4,931.97

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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.