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Finding the Fourth Proportional to 5,894.24, 8,836.43 and 4,040.82

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Solution

The fourth proportional to 5,894.24, 8,836.43 and 4,040.82 is: 6,057.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.24 : 8,836.43 = 4,040.82 : x
  2. Step 2: Convert to fraction form
    5,894.24/8,836.43 = 4,040.82/x
  3. Step 3: Cross multiply
    5,894.24x = 8,836.43 × 4,040.82
  4. Step 4: Simplify right side
    5,894.24x = 35,706,402.87
  5. Step 5: Solve for x
    x = 35,706,402.87/5,894.24
  6. Step 6: Final answer
    x = 6,057.85

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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.