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Finding the Fourth Proportional to 3,911.66, 5,867.26 and 1,100.68

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Solution

The fourth proportional to 3,911.66, 5,867.26 and 1,100.68 is: 1,650.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,911.66 : 5,867.26 = 1,100.68 : x
  2. Step 2: Convert to fraction form
    3,911.66/5,867.26 = 1,100.68/x
  3. Step 3: Cross multiply
    3,911.66x = 5,867.26 × 1,100.68
  4. Step 4: Simplify right side
    3,911.66x = 6,457,975.74
  5. Step 5: Solve for x
    x = 6,457,975.74/3,911.66
  6. Step 6: Final answer
    x = 1,650.96

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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.