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Finding the Fourth Proportional to 5,152.56, 7,728.12 and 2,192.19

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Solution

The fourth proportional to 5,152.56, 7,728.12 and 2,192.19 is: 3,287.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,152.56 : 7,728.12 = 2,192.19 : x
  2. Step 2: Convert to fraction form
    5,152.56/7,728.12 = 2,192.19/x
  3. Step 3: Cross multiply
    5,152.56x = 7,728.12 × 2,192.19
  4. Step 4: Simplify right side
    5,152.56x = 16,941,507.38
  5. Step 5: Solve for x
    x = 16,941,507.38/5,152.56
  6. Step 6: Final answer
    x = 3,287.98

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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.