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Finding the Fourth Proportional to 5,764.39, 7,955.90 and 4,520.23

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Solution

The fourth proportional to 5,764.39, 7,955.90 and 4,520.23 is: 6,238.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.39 : 7,955.90 = 4,520.23 : x
  2. Step 2: Convert to fraction form
    5,764.39/7,955.90 = 4,520.23/x
  3. Step 3: Cross multiply
    5,764.39x = 7,955.90 × 4,520.23
  4. Step 4: Simplify right side
    5,764.39x = 35,962,497.86
  5. Step 5: Solve for x
    x = 35,962,497.86/5,764.39
  6. Step 6: Final answer
    x = 6,238.73

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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.