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Finding the Fourth Proportional to 3,874.65, 5,811.10 and 1,101.26

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Solution

The fourth proportional to 3,874.65, 5,811.10 and 1,101.26 is: 1,651.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.65 : 5,811.10 = 1,101.26 : x
  2. Step 2: Convert to fraction form
    3,874.65/5,811.10 = 1,101.26/x
  3. Step 3: Cross multiply
    3,874.65x = 5,811.10 × 1,101.26
  4. Step 4: Simplify right side
    3,874.65x = 6,399,531.99
  5. Step 5: Solve for x
    x = 6,399,531.99/3,874.65
  6. Step 6: Final answer
    x = 1,651.64

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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.