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Finding the Fourth Proportional to 3,690.86, 5,093.28 and 2,097.41

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Solution

The fourth proportional to 3,690.86, 5,093.28 and 2,097.41 is: 2,894.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,690.86 : 5,093.28 = 2,097.41 : x
  2. Step 2: Convert to fraction form
    3,690.86/5,093.28 = 2,097.41/x
  3. Step 3: Cross multiply
    3,690.86x = 5,093.28 × 2,097.41
  4. Step 4: Simplify right side
    3,690.86x = 10,682,670.94
  5. Step 5: Solve for x
    x = 10,682,670.94/3,690.86
  6. Step 6: Final answer
    x = 2,894.36

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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.