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Finding the Fourth Proportional to 5,463.52, 8,195.23 and 1,765.67

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Solution

The fourth proportional to 5,463.52, 8,195.23 and 1,765.67 is: 2,648.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,463.52 : 8,195.23 = 1,765.67 : x
  2. Step 2: Convert to fraction form
    5,463.52/8,195.23 = 1,765.67/x
  3. Step 3: Cross multiply
    5,463.52x = 8,195.23 × 1,765.67
  4. Step 4: Simplify right side
    5,463.52x = 14,470,023.05
  5. Step 5: Solve for x
    x = 14,470,023.05/5,463.52
  6. Step 6: Final answer
    x = 2,648.48

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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.