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Finding the Fourth Proportional to 5,427.65, 8,142.09 and 1,728.99

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Solution

The fourth proportional to 5,427.65, 8,142.09 and 1,728.99 is: 2,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.65 : 8,142.09 = 1,728.99 : x
  2. Step 2: Convert to fraction form
    5,427.65/8,142.09 = 1,728.99/x
  3. Step 3: Cross multiply
    5,427.65x = 8,142.09 × 1,728.99
  4. Step 4: Simplify right side
    5,427.65x = 14,077,592.19
  5. Step 5: Solve for x
    x = 14,077,592.19/5,427.65
  6. Step 6: Final answer
    x = 2,593.68

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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.