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Finding the Fourth Proportional to 4,185.64, 6,273.24 and 1,719.10

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Solution

The fourth proportional to 4,185.64, 6,273.24 and 1,719.10 is: 2,576.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,185.64 : 6,273.24 = 1,719.10 : x
  2. Step 2: Convert to fraction form
    4,185.64/6,273.24 = 1,719.10/x
  3. Step 3: Cross multiply
    4,185.64x = 6,273.24 × 1,719.10
  4. Step 4: Simplify right side
    4,185.64x = 10,784,326.88
  5. Step 5: Solve for x
    x = 10,784,326.88/4,185.64
  6. Step 6: Final answer
    x = 2,576.51

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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.