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Finding the Fourth Proportional to 3,453.92, 5,179.93 and 954.51

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Solution

The fourth proportional to 3,453.92, 5,179.93 and 954.51 is: 1,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.92 : 5,179.93 = 954.51 : x
  2. Step 2: Convert to fraction form
    3,453.92/5,179.93 = 954.51/x
  3. Step 3: Cross multiply
    3,453.92x = 5,179.93 × 954.51
  4. Step 4: Simplify right side
    3,453.92x = 4,944,273.17
  5. Step 5: Solve for x
    x = 4,944,273.17/3,453.92
  6. Step 6: Final answer
    x = 1,431.50

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Why These Related Problems?

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