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Finding the Fourth Proportional to 5,200.57, 7,174.78 and 3,207.67

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Solution

The fourth proportional to 5,200.57, 7,174.78 and 3,207.67 is: 4,425.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,200.57 : 7,174.78 = 3,207.67 : x
  2. Step 2: Convert to fraction form
    5,200.57/7,174.78 = 3,207.67/x
  3. Step 3: Cross multiply
    5,200.57x = 7,174.78 × 3,207.67
  4. Step 4: Simplify right side
    5,200.57x = 23,014,300.61
  5. Step 5: Solve for x
    x = 23,014,300.61/5,200.57
  6. Step 6: Final answer
    x = 4,425.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.