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Finding the Fourth Proportional to 3,671.73, 5,051.97 and 3,172.77

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Solution

The fourth proportional to 3,671.73, 5,051.97 and 3,172.77 is: 4,365.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,671.73 : 5,051.97 = 3,172.77 : x
  2. Step 2: Convert to fraction form
    3,671.73/5,051.97 = 3,172.77/x
  3. Step 3: Cross multiply
    3,671.73x = 5,051.97 × 3,172.77
  4. Step 4: Simplify right side
    3,671.73x = 16,028,738.86
  5. Step 5: Solve for x
    x = 16,028,738.86/3,671.73
  6. Step 6: Final answer
    x = 4,365.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.