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Finding the Fourth Proportional to 5,833.12, 8,754 and 3,238.24

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Solution

The fourth proportional to 5,833.12, 8,754 and 3,238.24 is: 4,859.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,833.12 : 8,754 = 3,238.24 : x
  2. Step 2: Convert to fraction form
    5,833.12/8,754 = 3,238.24/x
  3. Step 3: Cross multiply
    5,833.12x = 8,754 × 3,238.24
  4. Step 4: Simplify right side
    5,833.12x = 28,347,552.96
  5. Step 5: Solve for x
    x = 28,347,552.96/5,833.12
  6. Step 6: Final answer
    x = 4,859.76

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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.