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Finding the Fourth Proportional to 6,406, 8,840.28 and 3,462

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Solution

The fourth proportional to 6,406, 8,840.28 and 3,462 is: 4,777.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406 : 8,840.28 = 3,462 : x
  2. Step 2: Convert to fraction form
    6,406/8,840.28 = 3,462/x
  3. Step 3: Cross multiply
    6,406x = 8,840.28 × 3,462
  4. Step 4: Simplify right side
    6,406x = 30,605,049.36
  5. Step 5: Solve for x
    x = 30,605,049.36/6,406
  6. Step 6: Final answer
    x = 4,777.56

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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.