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Finding the Fourth Proportional to 3,967.08, 5,946.96 and 3,639.03

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Solution

The fourth proportional to 3,967.08, 5,946.96 and 3,639.03 is: 5,455.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.08 : 5,946.96 = 3,639.03 : x
  2. Step 2: Convert to fraction form
    3,967.08/5,946.96 = 3,639.03/x
  3. Step 3: Cross multiply
    3,967.08x = 5,946.96 × 3,639.03
  4. Step 4: Simplify right side
    3,967.08x = 21,641,165.85
  5. Step 5: Solve for x
    x = 21,641,165.85/3,967.08
  6. Step 6: Final answer
    x = 5,455.19

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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.