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Finding the Fourth Proportional to 6,475.60, 8,936.31 and 3,642.97

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Solution

The fourth proportional to 6,475.60, 8,936.31 and 3,642.97 is: 5,027.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,475.60 : 8,936.31 = 3,642.97 : x
  2. Step 2: Convert to fraction form
    6,475.60/8,936.31 = 3,642.97/x
  3. Step 3: Cross multiply
    6,475.60x = 8,936.31 × 3,642.97
  4. Step 4: Simplify right side
    6,475.60x = 32,554,731.58
  5. Step 5: Solve for x
    x = 32,554,731.58/6,475.60
  6. Step 6: Final answer
    x = 5,027.29

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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.