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Finding the Fourth Proportional to 3,578.34, 5,338.37 and 2,996.94

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Solution

The fourth proportional to 3,578.34, 5,338.37 and 2,996.94 is: 4,471.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,578.34 : 5,338.37 = 2,996.94 : x
  2. Step 2: Convert to fraction form
    3,578.34/5,338.37 = 2,996.94/x
  3. Step 3: Cross multiply
    3,578.34x = 5,338.37 × 2,996.94
  4. Step 4: Simplify right side
    3,578.34x = 15,998,774.59
  5. Step 5: Solve for x
    x = 15,998,774.59/3,578.34
  6. Step 6: Final answer
    x = 4,471.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.