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Finding the Fourth Proportional to 3,975.16, 5,964 and 3,100.66

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Solution

The fourth proportional to 3,975.16, 5,964 and 3,100.66 is: 4,651.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,975.16 : 5,964 = 3,100.66 : x
  2. Step 2: Convert to fraction form
    3,975.16/5,964 = 3,100.66/x
  3. Step 3: Cross multiply
    3,975.16x = 5,964 × 3,100.66
  4. Step 4: Simplify right side
    3,975.16x = 18,492,336.24
  5. Step 5: Solve for x
    x = 18,492,336.24/3,975.16
  6. Step 6: Final answer
    x = 4,651.97

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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.