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Finding the Fourth Proportional to 3,973.05, 5,952.29 and 2,874.69

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Solution

The fourth proportional to 3,973.05, 5,952.29 and 2,874.69 is: 4,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.05 : 5,952.29 = 2,874.69 : x
  2. Step 2: Convert to fraction form
    3,973.05/5,952.29 = 2,874.69/x
  3. Step 3: Cross multiply
    3,973.05x = 5,952.29 × 2,874.69
  4. Step 4: Simplify right side
    3,973.05x = 17,110,974.17
  5. Step 5: Solve for x
    x = 17,110,974.17/3,973.05
  6. Step 6: Final answer
    x = 4,306.76

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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.