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Finding the Fourth Proportional to 3,725.86, 5,137.41 and 3,400.42

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Solution

The fourth proportional to 3,725.86, 5,137.41 and 3,400.42 is: 4,688.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.86 : 5,137.41 = 3,400.42 : x
  2. Step 2: Convert to fraction form
    3,725.86/5,137.41 = 3,400.42/x
  3. Step 3: Cross multiply
    3,725.86x = 5,137.41 × 3,400.42
  4. Step 4: Simplify right side
    3,725.86x = 17,469,351.71
  5. Step 5: Solve for x
    x = 17,469,351.71/3,725.86
  6. Step 6: Final answer
    x = 4,688.68

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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.