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Finding the Fourth Proportional to 3,299.74, 4,947.83 and 1,353.34

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Solution

The fourth proportional to 3,299.74, 4,947.83 and 1,353.34 is: 2,029.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.74 : 4,947.83 = 1,353.34 : x
  2. Step 2: Convert to fraction form
    3,299.74/4,947.83 = 1,353.34/x
  3. Step 3: Cross multiply
    3,299.74x = 4,947.83 × 1,353.34
  4. Step 4: Simplify right side
    3,299.74x = 6,696,096.25
  5. Step 5: Solve for x
    x = 6,696,096.25/3,299.74
  6. Step 6: Final answer
    x = 2,029.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.