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Finding the Fourth Proportional to 4,629.69, 6,383.88 and 2,949.21

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Solution

The fourth proportional to 4,629.69, 6,383.88 and 2,949.21 is: 4,066.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,629.69 : 6,383.88 = 2,949.21 : x
  2. Step 2: Convert to fraction form
    4,629.69/6,383.88 = 2,949.21/x
  3. Step 3: Cross multiply
    4,629.69x = 6,383.88 × 2,949.21
  4. Step 4: Simplify right side
    4,629.69x = 18,827,402.73
  5. Step 5: Solve for x
    x = 18,827,402.73/4,629.69
  6. Step 6: Final answer
    x = 4,066.67

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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.