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Finding the Fourth Proportional to 3,047.96, 4,204.94 and 2,053.56

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Solution

The fourth proportional to 3,047.96, 4,204.94 and 2,053.56 is: 2,833.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,047.96 : 4,204.94 = 2,053.56 : x
  2. Step 2: Convert to fraction form
    3,047.96/4,204.94 = 2,053.56/x
  3. Step 3: Cross multiply
    3,047.96x = 4,204.94 × 2,053.56
  4. Step 4: Simplify right side
    3,047.96x = 8,635,086.32
  5. Step 5: Solve for x
    x = 8,635,086.32/3,047.96
  6. Step 6: Final answer
    x = 2,833.07

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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.