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Finding the Fourth Proportional to 5,477, 7,558.26 and 2,993

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Solution

The fourth proportional to 5,477, 7,558.26 and 2,993 is: 4,130.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,477 : 7,558.26 = 2,993 : x
  2. Step 2: Convert to fraction form
    5,477/7,558.26 = 2,993/x
  3. Step 3: Cross multiply
    5,477x = 7,558.26 × 2,993
  4. Step 4: Simplify right side
    5,477x = 22,621,872.18
  5. Step 5: Solve for x
    x = 22,621,872.18/5,477
  6. Step 6: Final answer
    x = 4,130.34

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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.