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Finding the Fourth Proportional to 5,053.94, 6,974.45 and 3,288.54

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Solution

The fourth proportional to 5,053.94, 6,974.45 and 3,288.54 is: 4,538.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,053.94 : 6,974.45 = 3,288.54 : x
  2. Step 2: Convert to fraction form
    5,053.94/6,974.45 = 3,288.54/x
  3. Step 3: Cross multiply
    5,053.94x = 6,974.45 × 3,288.54
  4. Step 4: Simplify right side
    5,053.94x = 22,935,757.80
  5. Step 5: Solve for x
    x = 22,935,757.80/5,053.94
  6. Step 6: Final answer
    x = 4,538.19

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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.