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Finding the Fourth Proportional to 4,502.31, 6,754.46 and 1,728.99

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Solution

The fourth proportional to 4,502.31, 6,754.46 and 1,728.99 is: 2,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.31 : 6,754.46 = 1,728.99 : x
  2. Step 2: Convert to fraction form
    4,502.31/6,754.46 = 1,728.99/x
  3. Step 3: Cross multiply
    4,502.31x = 6,754.46 × 1,728.99
  4. Step 4: Simplify right side
    4,502.31x = 11,678,360.02
  5. Step 5: Solve for x
    x = 11,678,360.02/4,502.31
  6. Step 6: Final answer
    x = 2,593.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.