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Finding the Fourth Proportional to 3,973.17, 5,959.80 and 1,375.50

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Solution

The fourth proportional to 3,973.17, 5,959.80 and 1,375.50 is: 2,063.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.17 : 5,959.80 = 1,375.50 : x
  2. Step 2: Convert to fraction form
    3,973.17/5,959.80 = 1,375.50/x
  3. Step 3: Cross multiply
    3,973.17x = 5,959.80 × 1,375.50
  4. Step 4: Simplify right side
    3,973.17x = 8,197,704.90
  5. Step 5: Solve for x
    x = 8,197,704.90/3,973.17
  6. Step 6: Final answer
    x = 2,063.27

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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.