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Finding the Fourth Proportional to 5,902.25, 8,145.32 and 3,249.77

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Solution

The fourth proportional to 5,902.25, 8,145.32 and 3,249.77 is: 4,484.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.25 : 8,145.32 = 3,249.77 : x
  2. Step 2: Convert to fraction form
    5,902.25/8,145.32 = 3,249.77/x
  3. Step 3: Cross multiply
    5,902.25x = 8,145.32 × 3,249.77
  4. Step 4: Simplify right side
    5,902.25x = 26,470,359.60
  5. Step 5: Solve for x
    x = 26,470,359.60/5,902.25
  6. Step 6: Final answer
    x = 4,484.80

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