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Finding the Fourth Proportional to 6,475.44, 8,936.02 and 3,642.80

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Solution

The fourth proportional to 6,475.44, 8,936.02 and 3,642.80 is: 5,027.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.44 : 8,936.02 = 3,642.80 : x
  2. Step 2: Convert to fraction form
    6,475.44/8,936.02 = 3,642.80/x
  3. Step 3: Cross multiply
    6,475.44x = 8,936.02 × 3,642.80
  4. Step 4: Simplify right side
    6,475.44x = 32,552,115.44
  5. Step 5: Solve for x
    x = 32,552,115.44/6,475.44
  6. Step 6: Final answer
    x = 5,027.02

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