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Finding the Fourth Proportional to 4,153.50, 6,230.25 and 3,945.87

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Solution

The fourth proportional to 4,153.50, 6,230.25 and 3,945.87 is: 5,918.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,153.50 : 6,230.25 = 3,945.87 : x
  2. Step 2: Convert to fraction form
    4,153.50/6,230.25 = 3,945.87/x
  3. Step 3: Cross multiply
    4,153.50x = 6,230.25 × 3,945.87
  4. Step 4: Simplify right side
    4,153.50x = 24,583,756.57
  5. Step 5: Solve for x
    x = 24,583,756.57/4,153.50
  6. Step 6: Final answer
    x = 5,918.81

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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.