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Finding the Fourth Proportional to 5,658.75, 8,472.31 and 4,267.73

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Solution

The fourth proportional to 5,658.75, 8,472.31 and 4,267.73 is: 6,389.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,658.75 : 8,472.31 = 4,267.73 : x
  2. Step 2: Convert to fraction form
    5,658.75/8,472.31 = 4,267.73/x
  3. Step 3: Cross multiply
    5,658.75x = 8,472.31 × 4,267.73
  4. Step 4: Simplify right side
    5,658.75x = 36,157,542.07
  5. Step 5: Solve for x
    x = 36,157,542.07/5,658.75
  6. Step 6: Final answer
    x = 6,389.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.