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Finding the Fourth Proportional to 4,698.90, 6,481.63 and 3,105.56

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Solution

The fourth proportional to 4,698.90, 6,481.63 and 3,105.56 is: 4,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.90 : 6,481.63 = 3,105.56 : x
  2. Step 2: Convert to fraction form
    4,698.90/6,481.63 = 3,105.56/x
  3. Step 3: Cross multiply
    4,698.90x = 6,481.63 × 3,105.56
  4. Step 4: Simplify right side
    4,698.90x = 20,129,066.89
  5. Step 5: Solve for x
    x = 20,129,066.89/4,698.90
  6. Step 6: Final answer
    x = 4,283.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.