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Finding the Fourth Proportional to 5,453.64, 8,181.68 and 2,166.88

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Solution

The fourth proportional to 5,453.64, 8,181.68 and 2,166.88 is: 3,250.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,453.64 : 8,181.68 = 2,166.88 : x
  2. Step 2: Convert to fraction form
    5,453.64/8,181.68 = 2,166.88/x
  3. Step 3: Cross multiply
    5,453.64x = 8,181.68 × 2,166.88
  4. Step 4: Simplify right side
    5,453.64x = 17,728,718.76
  5. Step 5: Solve for x
    x = 17,728,718.76/5,453.64
  6. Step 6: Final answer
    x = 3,250.80

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Why These Related Problems?

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