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Finding the Fourth Proportional to 5,146.54, 7,719.20 and 2,185.42

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Solution

The fourth proportional to 5,146.54, 7,719.20 and 2,185.42 is: 3,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,146.54 : 7,719.20 = 2,185.42 : x
  2. Step 2: Convert to fraction form
    5,146.54/7,719.20 = 2,185.42/x
  3. Step 3: Cross multiply
    5,146.54x = 7,719.20 × 2,185.42
  4. Step 4: Simplify right side
    5,146.54x = 16,869,694.06
  5. Step 5: Solve for x
    x = 16,869,694.06/5,146.54
  6. Step 6: Final answer
    x = 3,277.87

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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.