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Finding the Fourth Proportional to 5,295.45, 7,947.23 and 3,813.96

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Solution

The fourth proportional to 5,295.45, 7,947.23 and 3,813.96 is: 5,723.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.45 : 7,947.23 = 3,813.96 : x
  2. Step 2: Convert to fraction form
    5,295.45/7,947.23 = 3,813.96/x
  3. Step 3: Cross multiply
    5,295.45x = 7,947.23 × 3,813.96
  4. Step 4: Simplify right side
    5,295.45x = 30,310,417.33
  5. Step 5: Solve for x
    x = 30,310,417.33/5,295.45
  6. Step 6: Final answer
    x = 5,723.86

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1.5x scale

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.