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Finding the Fourth Proportional to 3,689.96, 5,091.74 and 2,197.67

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Solution

The fourth proportional to 3,689.96, 5,091.74 and 2,197.67 is: 3,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689.96 : 5,091.74 = 2,197.67 : x
  2. Step 2: Convert to fraction form
    3,689.96/5,091.74 = 2,197.67/x
  3. Step 3: Cross multiply
    3,689.96x = 5,091.74 × 2,197.67
  4. Step 4: Simplify right side
    3,689.96x = 11,189,953.26
  5. Step 5: Solve for x
    x = 11,189,953.26/3,689.96
  6. Step 6: Final answer
    x = 3,032.54

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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.