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Finding the Fourth Proportional to 3,395.86, 4,688.94 and 2,201.41

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Solution

The fourth proportional to 3,395.86, 4,688.94 and 2,201.41 is: 3,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.86 : 4,688.94 = 2,201.41 : x
  2. Step 2: Convert to fraction form
    3,395.86/4,688.94 = 2,201.41/x
  3. Step 3: Cross multiply
    3,395.86x = 4,688.94 × 2,201.41
  4. Step 4: Simplify right side
    3,395.86x = 10,322,281.14
  5. Step 5: Solve for x
    x = 10,322,281.14/3,395.86
  6. Step 6: Final answer
    x = 3,039.67

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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.