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Finding the Fourth Proportional to 6,474.94, 8,936.33 and 3,642.53

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Solution

The fourth proportional to 6,474.94, 8,936.33 and 3,642.53 is: 5,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.94 : 8,936.33 = 3,642.53 : x
  2. Step 2: Convert to fraction form
    6,474.94/8,936.33 = 3,642.53/x
  3. Step 3: Cross multiply
    6,474.94x = 8,936.33 × 3,642.53
  4. Step 4: Simplify right side
    6,474.94x = 32,550,850.11
  5. Step 5: Solve for x
    x = 32,550,850.11/6,474.94
  6. Step 6: Final answer
    x = 5,027.20

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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.