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Finding the Fourth Proportional to 5,813.68, 8,010.36 and 3,947.44

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Solution

The fourth proportional to 5,813.68, 8,010.36 and 3,947.44 is: 5,438.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,813.68 : 8,010.36 = 3,947.44 : x
  2. Step 2: Convert to fraction form
    5,813.68/8,010.36 = 3,947.44/x
  3. Step 3: Cross multiply
    5,813.68x = 8,010.36 × 3,947.44
  4. Step 4: Simplify right side
    5,813.68x = 31,620,415.48
  5. Step 5: Solve for x
    x = 31,620,415.48/5,813.68
  6. Step 6: Final answer
    x = 5,438.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.