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Finding the Fourth Proportional to 5,817.24, 8,660.06 and 5,782.64

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Solution

The fourth proportional to 5,817.24, 8,660.06 and 5,782.64 is: 8,608.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,817.24 : 8,660.06 = 5,782.64 : x
  2. Step 2: Convert to fraction form
    5,817.24/8,660.06 = 5,782.64/x
  3. Step 3: Cross multiply
    5,817.24x = 8,660.06 × 5,782.64
  4. Step 4: Simplify right side
    5,817.24x = 50,078,007.57
  5. Step 5: Solve for x
    x = 50,078,007.57/5,817.24
  6. Step 6: Final answer
    x = 8,608.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.