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Finding the Fourth Proportional to 3,123.44, 4,309.05 and 2,004.14

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Solution

The fourth proportional to 3,123.44, 4,309.05 and 2,004.14 is: 2,764.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,123.44 : 4,309.05 = 2,004.14 : x
  2. Step 2: Convert to fraction form
    3,123.44/4,309.05 = 2,004.14/x
  3. Step 3: Cross multiply
    3,123.44x = 4,309.05 × 2,004.14
  4. Step 4: Simplify right side
    3,123.44x = 8,635,939.47
  5. Step 5: Solve for x
    x = 8,635,939.47/3,123.44
  6. Step 6: Final answer
    x = 2,764.88

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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.