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Finding the Fourth Proportional to 5,477, 7,558.44 and 2,993

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Solution

The fourth proportional to 5,477, 7,558.44 and 2,993 is: 4,130.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477 : 7,558.44 = 2,993 : x
  2. Step 2: Convert to fraction form
    5,477/7,558.44 = 2,993/x
  3. Step 3: Cross multiply
    5,477x = 7,558.44 × 2,993
  4. Step 4: Simplify right side
    5,477x = 22,622,410.92
  5. Step 5: Solve for x
    x = 22,622,410.92/5,477
  6. Step 6: Final answer
    x = 4,130.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.