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Finding the Fourth Proportional to 5,488.63, 8,234.17 and 2,157.20

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Solution

The fourth proportional to 5,488.63, 8,234.17 and 2,157.20 is: 3,236.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,488.63 : 8,234.17 = 2,157.20 : x
  2. Step 2: Convert to fraction form
    5,488.63/8,234.17 = 2,157.20/x
  3. Step 3: Cross multiply
    5,488.63x = 8,234.17 × 2,157.20
  4. Step 4: Simplify right side
    5,488.63x = 17,762,735.84
  5. Step 5: Solve for x
    x = 17,762,735.84/5,488.63
  6. Step 6: Final answer
    x = 3,236.28

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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.