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Finding the Fourth Proportional to 3,404.54, 4,698.60 and 2,287.79

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Solution

The fourth proportional to 3,404.54, 4,698.60 and 2,287.79 is: 3,157.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,404.54 : 4,698.60 = 2,287.79 : x
  2. Step 2: Convert to fraction form
    3,404.54/4,698.60 = 2,287.79/x
  3. Step 3: Cross multiply
    3,404.54x = 4,698.60 × 2,287.79
  4. Step 4: Simplify right side
    3,404.54x = 10,749,410.09
  5. Step 5: Solve for x
    x = 10,749,410.09/3,404.54
  6. Step 6: Final answer
    x = 3,157.38

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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.