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Finding the Fourth Proportional to 5,821.94, 8,725.05 and 4,174.88

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Solution

The fourth proportional to 5,821.94, 8,725.05 and 4,174.88 is: 6,256.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,821.94 : 8,725.05 = 4,174.88 : x
  2. Step 2: Convert to fraction form
    5,821.94/8,725.05 = 4,174.88/x
  3. Step 3: Cross multiply
    5,821.94x = 8,725.05 × 4,174.88
  4. Step 4: Simplify right side
    5,821.94x = 36,425,993.12
  5. Step 5: Solve for x
    x = 36,425,993.12/5,821.94
  6. Step 6: Final answer
    x = 6,256.67

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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.