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Finding the Fourth Proportional to 3,872.98, 5,809.53 and 1,406.26

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Solution

The fourth proportional to 3,872.98, 5,809.53 and 1,406.26 is: 2,109.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.98 : 5,809.53 = 1,406.26 : x
  2. Step 2: Convert to fraction form
    3,872.98/5,809.53 = 1,406.26/x
  3. Step 3: Cross multiply
    3,872.98x = 5,809.53 × 1,406.26
  4. Step 4: Simplify right side
    3,872.98x = 8,169,709.66
  5. Step 5: Solve for x
    x = 8,169,709.66/3,872.98
  6. Step 6: Final answer
    x = 2,109.41

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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.