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Finding the Fourth Proportional to 4,629.69, 6,938.49 and 4,043.30

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Solution

The fourth proportional to 4,629.69, 6,938.49 and 4,043.30 is: 6,059.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.69 : 6,938.49 = 4,043.30 : x
  2. Step 2: Convert to fraction form
    4,629.69/6,938.49 = 4,043.30/x
  3. Step 3: Cross multiply
    4,629.69x = 6,938.49 × 4,043.30
  4. Step 4: Simplify right side
    4,629.69x = 28,054,396.62
  5. Step 5: Solve for x
    x = 28,054,396.62/4,629.69
  6. Step 6: Final answer
    x = 6,059.67

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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.