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Finding the Fourth Proportional to 3,904.09, 5,858.46 and 1,440.67

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Solution

The fourth proportional to 3,904.09, 5,858.46 and 1,440.67 is: 2,161.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.09 : 5,858.46 = 1,440.67 : x
  2. Step 2: Convert to fraction form
    3,904.09/5,858.46 = 1,440.67/x
  3. Step 3: Cross multiply
    3,904.09x = 5,858.46 × 1,440.67
  4. Step 4: Simplify right side
    3,904.09x = 8,440,107.57
  5. Step 5: Solve for x
    x = 8,440,107.57/3,904.09
  6. Step 6: Final answer
    x = 2,161.86

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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.