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Finding the Fourth Proportional to 3,622, 5,433 and 1,313.50

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Solution

The fourth proportional to 3,622, 5,433 and 1,313.50 is: 1,970.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622 : 5,433 = 1,313.50 : x
  2. Step 2: Convert to fraction form
    3,622/5,433 = 1,313.50/x
  3. Step 3: Cross multiply
    3,622x = 5,433 × 1,313.50
  4. Step 4: Simplify right side
    3,622x = 7,136,245.50
  5. Step 5: Solve for x
    x = 7,136,245.50/3,622
  6. Step 6: Final answer
    x = 1,970.25

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Why These Related Problems?

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