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Finding the Fourth Proportional to 5,636.56, 8,447.13 and 2,123.04

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Solution

The fourth proportional to 5,636.56, 8,447.13 and 2,123.04 is: 3,181.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.56 : 8,447.13 = 2,123.04 : x
  2. Step 2: Convert to fraction form
    5,636.56/8,447.13 = 2,123.04/x
  3. Step 3: Cross multiply
    5,636.56x = 8,447.13 × 2,123.04
  4. Step 4: Simplify right side
    5,636.56x = 17,933,594.88
  5. Step 5: Solve for x
    x = 17,933,594.88/5,636.56
  6. Step 6: Final answer
    x = 3,181.66

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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.