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Finding the Fourth Proportional to 5,739.40, 7,923.54 and 4,063.24

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Solution

The fourth proportional to 5,739.40, 7,923.54 and 4,063.24 is: 5,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.40 : 7,923.54 = 4,063.24 : x
  2. Step 2: Convert to fraction form
    5,739.40/7,923.54 = 4,063.24/x
  3. Step 3: Cross multiply
    5,739.40x = 7,923.54 × 4,063.24
  4. Step 4: Simplify right side
    5,739.40x = 32,195,244.67
  5. Step 5: Solve for x
    x = 32,195,244.67/5,739.40
  6. Step 6: Final answer
    x = 5,609.51

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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.