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Finding the Fourth Proportional to 3,446.49, 4,756.05 and 1,954.54

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Solution

The fourth proportional to 3,446.49, 4,756.05 and 1,954.54 is: 2,697.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,446.49 : 4,756.05 = 1,954.54 : x
  2. Step 2: Convert to fraction form
    3,446.49/4,756.05 = 1,954.54/x
  3. Step 3: Cross multiply
    3,446.49x = 4,756.05 × 1,954.54
  4. Step 4: Simplify right side
    3,446.49x = 9,295,889.97
  5. Step 5: Solve for x
    x = 9,295,889.97/3,446.49
  6. Step 6: Final answer
    x = 2,697.20

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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.