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Finding the Fourth Proportional to 3,872.36, 5,805.12 and 1,406.60

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Solution

The fourth proportional to 3,872.36, 5,805.12 and 1,406.60 is: 2,108.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.36 : 5,805.12 = 1,406.60 : x
  2. Step 2: Convert to fraction form
    3,872.36/5,805.12 = 1,406.60/x
  3. Step 3: Cross multiply
    3,872.36x = 5,805.12 × 1,406.60
  4. Step 4: Simplify right side
    3,872.36x = 8,165,481.79
  5. Step 5: Solve for x
    x = 8,165,481.79/3,872.36
  6. Step 6: Final answer
    x = 2,108.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.