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Finding the Fourth Proportional to 3,449.44, 4,765.80 and 2,406.16

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Solution

The fourth proportional to 3,449.44, 4,765.80 and 2,406.16 is: 3,324.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,449.44 : 4,765.80 = 2,406.16 : x
  2. Step 2: Convert to fraction form
    3,449.44/4,765.80 = 2,406.16/x
  3. Step 3: Cross multiply
    3,449.44x = 4,765.80 × 2,406.16
  4. Step 4: Simplify right side
    3,449.44x = 11,467,277.33
  5. Step 5: Solve for x
    x = 11,467,277.33/3,449.44
  6. Step 6: Final answer
    x = 3,324.39

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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.