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Finding the Fourth Proportional to 4,775.70, 7,163.55 and 4,289.70

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Solution

The fourth proportional to 4,775.70, 7,163.55 and 4,289.70 is: 6,434.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,775.70 : 7,163.55 = 4,289.70 : x
  2. Step 2: Convert to fraction form
    4,775.70/7,163.55 = 4,289.70/x
  3. Step 3: Cross multiply
    4,775.70x = 7,163.55 × 4,289.70
  4. Step 4: Simplify right side
    4,775.70x = 30,729,480.44
  5. Step 5: Solve for x
    x = 30,729,480.44/4,775.70
  6. Step 6: Final answer
    x = 6,434.55

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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.