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Finding the Fourth Proportional to 5,824.88, 8,735.16 and 3,155.94

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Solution

The fourth proportional to 5,824.88, 8,735.16 and 3,155.94 is: 4,732.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,824.88 : 8,735.16 = 3,155.94 : x
  2. Step 2: Convert to fraction form
    5,824.88/8,735.16 = 3,155.94/x
  3. Step 3: Cross multiply
    5,824.88x = 8,735.16 × 3,155.94
  4. Step 4: Simplify right side
    5,824.88x = 27,567,640.85
  5. Step 5: Solve for x
    x = 27,567,640.85/5,824.88
  6. Step 6: Final answer
    x = 4,732.74

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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.