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Finding the Fourth Proportional to 4,205.80, 5,761.97 and 4,048.16

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Solution

The fourth proportional to 4,205.80, 5,761.97 and 4,048.16 is: 5,545.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.80 : 5,761.97 = 4,048.16 : x
  2. Step 2: Convert to fraction form
    4,205.80/5,761.97 = 4,048.16/x
  3. Step 3: Cross multiply
    4,205.80x = 5,761.97 × 4,048.16
  4. Step 4: Simplify right side
    4,205.80x = 23,325,342.61
  5. Step 5: Solve for x
    x = 23,325,342.61/4,205.80
  6. Step 6: Final answer
    x = 5,545.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.