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Finding the Fourth Proportional to 5,954.86, 8,931.07 and 2,255.82

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Solution

The fourth proportional to 5,954.86, 8,931.07 and 2,255.82 is: 3,383.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,954.86 : 8,931.07 = 2,255.82 : x
  2. Step 2: Convert to fraction form
    5,954.86/8,931.07 = 2,255.82/x
  3. Step 3: Cross multiply
    5,954.86x = 8,931.07 × 2,255.82
  4. Step 4: Simplify right side
    5,954.86x = 20,146,886.33
  5. Step 5: Solve for x
    x = 20,146,886.33/5,954.86
  6. Step 6: Final answer
    x = 3,383.27

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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.