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Finding the Fourth Proportional to 3,874.34, 5,811.49 and 1,409.11

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Solution

The fourth proportional to 3,874.34, 5,811.49 and 1,409.11 is: 2,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,874.34 : 5,811.49 = 1,409.11 : x
  2. Step 2: Convert to fraction form
    3,874.34/5,811.49 = 1,409.11/x
  3. Step 3: Cross multiply
    3,874.34x = 5,811.49 × 1,409.11
  4. Step 4: Simplify right side
    3,874.34x = 8,189,028.67
  5. Step 5: Solve for x
    x = 8,189,028.67/3,874.34
  6. Step 6: Final answer
    x = 2,113.66

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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.