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Finding the Fourth Proportional to 5,822.57, 8,039.17 and 5,450.78

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Solution

The fourth proportional to 5,822.57, 8,039.17 and 5,450.78 is: 7,525.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,822.57 : 8,039.17 = 5,450.78 : x
  2. Step 2: Convert to fraction form
    5,822.57/8,039.17 = 5,450.78/x
  3. Step 3: Cross multiply
    5,822.57x = 8,039.17 × 5,450.78
  4. Step 4: Simplify right side
    5,822.57x = 43,819,747.05
  5. Step 5: Solve for x
    x = 43,819,747.05/5,822.57
  6. Step 6: Final answer
    x = 7,525.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.