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Finding the Fourth Proportional to 3,299.64, 4,949.46 and 2,809.56

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Solution

The fourth proportional to 3,299.64, 4,949.46 and 2,809.56 is: 4,214.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,299.64 : 4,949.46 = 2,809.56 : x
  2. Step 2: Convert to fraction form
    3,299.64/4,949.46 = 2,809.56/x
  3. Step 3: Cross multiply
    3,299.64x = 4,949.46 × 2,809.56
  4. Step 4: Simplify right side
    3,299.64x = 13,905,804.84
  5. Step 5: Solve for x
    x = 13,905,804.84/3,299.64
  6. Step 6: Final answer
    x = 4,214.34

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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.