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Finding the Fourth Proportional to 3,954.69, 5,933.12 and 2,312.69

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Solution

The fourth proportional to 3,954.69, 5,933.12 and 2,312.69 is: 3,469.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.69 : 5,933.12 = 2,312.69 : x
  2. Step 2: Convert to fraction form
    3,954.69/5,933.12 = 2,312.69/x
  3. Step 3: Cross multiply
    3,954.69x = 5,933.12 × 2,312.69
  4. Step 4: Simplify right side
    3,954.69x = 13,721,426.06
  5. Step 5: Solve for x
    x = 13,721,426.06/3,954.69
  6. Step 6: Final answer
    x = 3,469.66

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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.