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Finding the Fourth Proportional to 5,782.19, 7,979.42 and 3,129.62

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Solution

The fourth proportional to 5,782.19, 7,979.42 and 3,129.62 is: 4,318.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,782.19 : 7,979.42 = 3,129.62 : x
  2. Step 2: Convert to fraction form
    5,782.19/7,979.42 = 3,129.62/x
  3. Step 3: Cross multiply
    5,782.19x = 7,979.42 × 3,129.62
  4. Step 4: Simplify right side
    5,782.19x = 24,972,528.56
  5. Step 5: Solve for x
    x = 24,972,528.56/5,782.19
  6. Step 6: Final answer
    x = 4,318.87

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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.