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Finding the Fourth Proportional to 3,872.39, 5,811.35 and 1,409.31

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Solution

The fourth proportional to 3,872.39, 5,811.35 and 1,409.31 is: 2,114.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.39 : 5,811.35 = 1,409.31 : x
  2. Step 2: Convert to fraction form
    3,872.39/5,811.35 = 1,409.31/x
  3. Step 3: Cross multiply
    3,872.39x = 5,811.35 × 1,409.31
  4. Step 4: Simplify right side
    3,872.39x = 8,189,986.62
  5. Step 5: Solve for x
    x = 8,189,986.62/3,872.39
  6. Step 6: Final answer
    x = 2,114.97

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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.