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Finding the Fourth Proportional to 3,679.02, 5,516.67 and 1,338.90

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Solution

The fourth proportional to 3,679.02, 5,516.67 and 1,338.90 is: 2,007.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.02 : 5,516.67 = 1,338.90 : x
  2. Step 2: Convert to fraction form
    3,679.02/5,516.67 = 1,338.90/x
  3. Step 3: Cross multiply
    3,679.02x = 5,516.67 × 1,338.90
  4. Step 4: Simplify right side
    3,679.02x = 7,386,269.46
  5. Step 5: Solve for x
    x = 7,386,269.46/3,679.02
  6. Step 6: Final answer
    x = 2,007.67

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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.