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Finding the Fourth Proportional to 3,973.92, 5,959.50 and 1,376.28

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Solution

The fourth proportional to 3,973.92, 5,959.50 and 1,376.28 is: 2,063.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.92 : 5,959.50 = 1,376.28 : x
  2. Step 2: Convert to fraction form
    3,973.92/5,959.50 = 1,376.28/x
  3. Step 3: Cross multiply
    3,973.92x = 5,959.50 × 1,376.28
  4. Step 4: Simplify right side
    3,973.92x = 8,201,940.66
  5. Step 5: Solve for x
    x = 8,201,940.66/3,973.92
  6. Step 6: Final answer
    x = 2,063.94

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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.