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Finding the Fourth Proportional to 5,636.19, 8,450.51 and 5,049.75

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Solution

The fourth proportional to 5,636.19, 8,450.51 and 5,049.75 is: 7,571.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,636.19 : 8,450.51 = 5,049.75 : x
  2. Step 2: Convert to fraction form
    5,636.19/8,450.51 = 5,049.75/x
  3. Step 3: Cross multiply
    5,636.19x = 8,450.51 × 5,049.75
  4. Step 4: Simplify right side
    5,636.19x = 42,672,937.62
  5. Step 5: Solve for x
    x = 42,672,937.62/5,636.19
  6. Step 6: Final answer
    x = 7,571.24

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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.