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Finding the Fourth Proportional to 3,477.16, 5,213.20 and 1,627.24

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Solution

The fourth proportional to 3,477.16, 5,213.20 and 1,627.24 is: 2,439.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.16 : 5,213.20 = 1,627.24 : x
  2. Step 2: Convert to fraction form
    3,477.16/5,213.20 = 1,627.24/x
  3. Step 3: Cross multiply
    3,477.16x = 5,213.20 × 1,627.24
  4. Step 4: Simplify right side
    3,477.16x = 8,483,127.57
  5. Step 5: Solve for x
    x = 8,483,127.57/3,477.16
  6. Step 6: Final answer
    x = 2,439.67

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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.