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Finding the Fourth Proportional to 4,698.99, 6,481.76 and 3,105.63

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Solution

The fourth proportional to 4,698.99, 6,481.76 and 3,105.63 is: 4,283.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,698.99 : 6,481.76 = 3,105.63 : x
  2. Step 2: Convert to fraction form
    4,698.99/6,481.76 = 3,105.63/x
  3. Step 3: Cross multiply
    4,698.99x = 6,481.76 × 3,105.63
  4. Step 4: Simplify right side
    4,698.99x = 20,129,932.78
  5. Step 5: Solve for x
    x = 20,129,932.78/4,698.99
  6. Step 6: Final answer
    x = 4,283.89

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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.