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Finding the Fourth Proportional to 5,914.37, 8,152.40 and 5,797.73

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Solution

The fourth proportional to 5,914.37, 8,152.40 and 5,797.73 is: 7,991.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,914.37 : 8,152.40 = 5,797.73 : x
  2. Step 2: Convert to fraction form
    5,914.37/8,152.40 = 5,797.73/x
  3. Step 3: Cross multiply
    5,914.37x = 8,152.40 × 5,797.73
  4. Step 4: Simplify right side
    5,914.37x = 47,265,448.93
  5. Step 5: Solve for x
    x = 47,265,448.93/5,914.37
  6. Step 6: Final answer
    x = 7,991.63

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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.