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Finding the Fourth Proportional to 3,640.51, 5,455.56 and 2,077.29

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Solution

The fourth proportional to 3,640.51, 5,455.56 and 2,077.29 is: 3,112.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.51 : 5,455.56 = 2,077.29 : x
  2. Step 2: Convert to fraction form
    3,640.51/5,455.56 = 2,077.29/x
  3. Step 3: Cross multiply
    3,640.51x = 5,455.56 × 2,077.29
  4. Step 4: Simplify right side
    3,640.51x = 11,332,780.23
  5. Step 5: Solve for x
    x = 11,332,780.23/3,640.51
  6. Step 6: Final answer
    x = 3,112.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.