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Finding the Fourth Proportional to 5,438.34, 8,160.22 and 2,153.80

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Solution

The fourth proportional to 5,438.34, 8,160.22 and 2,153.80 is: 3,231.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,438.34 : 8,160.22 = 2,153.80 : x
  2. Step 2: Convert to fraction form
    5,438.34/8,160.22 = 2,153.80/x
  3. Step 3: Cross multiply
    5,438.34x = 8,160.22 × 2,153.80
  4. Step 4: Simplify right side
    5,438.34x = 17,575,481.84
  5. Step 5: Solve for x
    x = 17,575,481.84/5,438.34
  6. Step 6: Final answer
    x = 3,231.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.