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Finding the Fourth Proportional to 3,874.40, 5,811.49 and 1,409.26

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Solution

The fourth proportional to 3,874.40, 5,811.49 and 1,409.26 is: 2,113.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.40 : 5,811.49 = 1,409.26 : x
  2. Step 2: Convert to fraction form
    3,874.40/5,811.49 = 1,409.26/x
  3. Step 3: Cross multiply
    3,874.40x = 5,811.49 × 1,409.26
  4. Step 4: Simplify right side
    3,874.40x = 8,189,893.35
  5. Step 5: Solve for x
    x = 8,189,893.35/3,874.40
  6. Step 6: Final answer
    x = 2,113.85

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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.