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Finding the Fourth Proportional to 3,984.63, 5,976.48 and 1,063.16

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Solution

The fourth proportional to 3,984.63, 5,976.48 and 1,063.16 is: 1,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,984.63 : 5,976.48 = 1,063.16 : x
  2. Step 2: Convert to fraction form
    3,984.63/5,976.48 = 1,063.16/x
  3. Step 3: Cross multiply
    3,984.63x = 5,976.48 × 1,063.16
  4. Step 4: Simplify right side
    3,984.63x = 6,353,950.99
  5. Step 5: Solve for x
    x = 6,353,950.99/3,984.63
  6. Step 6: Final answer
    x = 1,594.62

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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.