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Finding the Fourth Proportional to 3,722.69, 5,137.53 and 2,230.67

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Solution

The fourth proportional to 3,722.69, 5,137.53 and 2,230.67 is: 3,078.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.69 : 5,137.53 = 2,230.67 : x
  2. Step 2: Convert to fraction form
    3,722.69/5,137.53 = 2,230.67/x
  3. Step 3: Cross multiply
    3,722.69x = 5,137.53 × 2,230.67
  4. Step 4: Simplify right side
    3,722.69x = 11,460,134.05
  5. Step 5: Solve for x
    x = 11,460,134.05/3,722.69
  6. Step 6: Final answer
    x = 3,078.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.