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Finding the Fourth Proportional to 5,760.45, 8,641.22 and 4,775.49

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Solution

The fourth proportional to 5,760.45, 8,641.22 and 4,775.49 is: 7,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,760.45 : 8,641.22 = 4,775.49 : x
  2. Step 2: Convert to fraction form
    5,760.45/8,641.22 = 4,775.49/x
  3. Step 3: Cross multiply
    5,760.45x = 8,641.22 × 4,775.49
  4. Step 4: Simplify right side
    5,760.45x = 41,266,035.82
  5. Step 5: Solve for x
    x = 41,266,035.82/5,760.45
  6. Step 6: Final answer
    x = 7,163.68

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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.