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Finding the Fourth Proportional to 3,289.86, 4,537.62 and 2,093.67

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Solution

The fourth proportional to 3,289.86, 4,537.62 and 2,093.67 is: 2,887.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,289.86 : 4,537.62 = 2,093.67 : x
  2. Step 2: Convert to fraction form
    3,289.86/4,537.62 = 2,093.67/x
  3. Step 3: Cross multiply
    3,289.86x = 4,537.62 × 2,093.67
  4. Step 4: Simplify right side
    3,289.86x = 9,500,278.87
  5. Step 5: Solve for x
    x = 9,500,278.87/3,289.86
  6. Step 6: Final answer
    x = 2,887.75

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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.