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Finding the Fourth Proportional to 4,135.76, 6,201.57 and 1,324.22

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Solution

The fourth proportional to 4,135.76, 6,201.57 and 1,324.22 is: 1,985.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,135.76 : 6,201.57 = 1,324.22 : x
  2. Step 2: Convert to fraction form
    4,135.76/6,201.57 = 1,324.22/x
  3. Step 3: Cross multiply
    4,135.76x = 6,201.57 × 1,324.22
  4. Step 4: Simplify right side
    4,135.76x = 8,212,243.03
  5. Step 5: Solve for x
    x = 8,212,243.03/4,135.76
  6. Step 6: Final answer
    x = 1,985.67

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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.