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Finding the Fourth Proportional to 5,427.72, 8,142.18 and 1,728.65

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Solution

The fourth proportional to 5,427.72, 8,142.18 and 1,728.65 is: 2,593.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,427.72 : 8,142.18 = 1,728.65 : x
  2. Step 2: Convert to fraction form
    5,427.72/8,142.18 = 1,728.65/x
  3. Step 3: Cross multiply
    5,427.72x = 8,142.18 × 1,728.65
  4. Step 4: Simplify right side
    5,427.72x = 14,074,970.81
  5. Step 5: Solve for x
    x = 14,074,970.81/5,427.72
  6. Step 6: Final answer
    x = 2,593.16

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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.