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Finding the Fourth Proportional to 4,197.53, 6,289.01 and 2,945.48

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Solution

The fourth proportional to 4,197.53, 6,289.01 and 2,945.48 is: 4,413.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,197.53 : 6,289.01 = 2,945.48 : x
  2. Step 2: Convert to fraction form
    4,197.53/6,289.01 = 2,945.48/x
  3. Step 3: Cross multiply
    4,197.53x = 6,289.01 × 2,945.48
  4. Step 4: Simplify right side
    4,197.53x = 18,524,107.00
  5. Step 5: Solve for x
    x = 18,524,107.00/4,197.53
  6. Step 6: Final answer
    x = 4,413.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.