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Finding the Fourth Proportional to 3,644.69, 5,027.96 and 2,385.28

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Solution

The fourth proportional to 3,644.69, 5,027.96 and 2,385.28 is: 3,290.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,644.69 : 5,027.96 = 2,385.28 : x
  2. Step 2: Convert to fraction form
    3,644.69/5,027.96 = 2,385.28/x
  3. Step 3: Cross multiply
    3,644.69x = 5,027.96 × 2,385.28
  4. Step 4: Simplify right side
    3,644.69x = 11,993,055.36
  5. Step 5: Solve for x
    x = 11,993,055.36/3,644.69
  6. Step 6: Final answer
    x = 3,290.56

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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.