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Finding the Fourth Proportional to 5,954.14, 8,931.26 and 2,255.38

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Solution

The fourth proportional to 5,954.14, 8,931.26 and 2,255.38 is: 3,383.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.14 : 8,931.26 = 2,255.38 : x
  2. Step 2: Convert to fraction form
    5,954.14/8,931.26 = 2,255.38/x
  3. Step 3: Cross multiply
    5,954.14x = 8,931.26 × 2,255.38
  4. Step 4: Simplify right side
    5,954.14x = 20,143,368.49
  5. Step 5: Solve for x
    x = 20,143,368.49/5,954.14
  6. Step 6: Final answer
    x = 3,383.09

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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.