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Finding the Fourth Proportional to 3,951.78, 5,453.47 and 2,159.20

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Solution

The fourth proportional to 3,951.78, 5,453.47 and 2,159.20 is: 2,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.78 : 5,453.47 = 2,159.20 : x
  2. Step 2: Convert to fraction form
    3,951.78/5,453.47 = 2,159.20/x
  3. Step 3: Cross multiply
    3,951.78x = 5,453.47 × 2,159.20
  4. Step 4: Simplify right side
    3,951.78x = 11,775,141.94
  5. Step 5: Solve for x
    x = 11,775,141.94/3,951.78
  6. Step 6: Final answer
    x = 2,979.71

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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.