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Finding the Fourth Proportional to 3,395.86, 5,093.69 and 1,640.99

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Solution

The fourth proportional to 3,395.86, 5,093.69 and 1,640.99 is: 2,461.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.86 : 5,093.69 = 1,640.99 : x
  2. Step 2: Convert to fraction form
    3,395.86/5,093.69 = 1,640.99/x
  3. Step 3: Cross multiply
    3,395.86x = 5,093.69 × 1,640.99
  4. Step 4: Simplify right side
    3,395.86x = 8,358,698.88
  5. Step 5: Solve for x
    x = 8,358,698.88/3,395.86
  6. Step 6: Final answer
    x = 2,461.44

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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.