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Finding the Fourth Proportional to 5,738.24, 8,605.92 and 1,840.64

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Solution

The fourth proportional to 5,738.24, 8,605.92 and 1,840.64 is: 2,760.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.24 : 8,605.92 = 1,840.64 : x
  2. Step 2: Convert to fraction form
    5,738.24/8,605.92 = 1,840.64/x
  3. Step 3: Cross multiply
    5,738.24x = 8,605.92 × 1,840.64
  4. Step 4: Simplify right side
    5,738.24x = 15,840,400.59
  5. Step 5: Solve for x
    x = 15,840,400.59/5,738.24
  6. Step 6: Final answer
    x = 2,760.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.