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Finding the Fourth Proportional to 3,747.64, 5,622.20 and 1,150.96

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Solution

The fourth proportional to 3,747.64, 5,622.20 and 1,150.96 is: 1,726.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,747.64 : 5,622.20 = 1,150.96 : x
  2. Step 2: Convert to fraction form
    3,747.64/5,622.20 = 1,150.96/x
  3. Step 3: Cross multiply
    3,747.64x = 5,622.20 × 1,150.96
  4. Step 4: Simplify right side
    3,747.64x = 6,470,927.31
  5. Step 5: Solve for x
    x = 6,470,927.31/3,747.64
  6. Step 6: Final answer
    x = 1,726.67

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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.