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Finding the Fourth Proportional to 3,910.92, 5,877.54 and 3,256.86

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Solution

The fourth proportional to 3,910.92, 5,877.54 and 3,256.86 is: 4,894.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,910.92 : 5,877.54 = 3,256.86 : x
  2. Step 2: Convert to fraction form
    3,910.92/5,877.54 = 3,256.86/x
  3. Step 3: Cross multiply
    3,910.92x = 5,877.54 × 3,256.86
  4. Step 4: Simplify right side
    3,910.92x = 19,142,324.92
  5. Step 5: Solve for x
    x = 19,142,324.92/3,910.92
  6. Step 6: Final answer
    x = 4,894.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.