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Finding the Fourth Proportional to 5,835.87, 8,053.70 and 3,183.42

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Solution

The fourth proportional to 5,835.87, 8,053.70 and 3,183.42 is: 4,393.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,835.87 : 8,053.70 = 3,183.42 : x
  2. Step 2: Convert to fraction form
    5,835.87/8,053.70 = 3,183.42/x
  3. Step 3: Cross multiply
    5,835.87x = 8,053.70 × 3,183.42
  4. Step 4: Simplify right side
    5,835.87x = 25,638,323.94
  5. Step 5: Solve for x
    x = 25,638,323.94/5,835.87
  6. Step 6: Final answer
    x = 4,393.23

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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.