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Finding the Fourth Proportional to 3,973, 5,959.74 and 1,237

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Solution

The fourth proportional to 3,973, 5,959.74 and 1,237 is: 1,855.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973 : 5,959.74 = 1,237 : x
  2. Step 2: Convert to fraction form
    3,973/5,959.74 = 1,237/x
  3. Step 3: Cross multiply
    3,973x = 5,959.74 × 1,237
  4. Step 4: Simplify right side
    3,973x = 7,372,198.38
  5. Step 5: Solve for x
    x = 7,372,198.38/3,973
  6. Step 6: Final answer
    x = 1,855.57

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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.