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Finding the Fourth Proportional to 3,446.69, 4,749.38 and 3,260.60

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Solution

The fourth proportional to 3,446.69, 4,749.38 and 3,260.60 is: 4,492.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.69 : 4,749.38 = 3,260.60 : x
  2. Step 2: Convert to fraction form
    3,446.69/4,749.38 = 3,260.60/x
  3. Step 3: Cross multiply
    3,446.69x = 4,749.38 × 3,260.60
  4. Step 4: Simplify right side
    3,446.69x = 15,485,788.38
  5. Step 5: Solve for x
    x = 15,485,788.38/3,446.69
  6. Step 6: Final answer
    x = 4,492.95

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Why These Related Problems?

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