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Finding the Fourth Proportional to 3,254.64, 4,872.36 and 3,072.24

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Solution

The fourth proportional to 3,254.64, 4,872.36 and 3,072.24 is: 4,599.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,254.64 : 4,872.36 = 3,072.24 : x
  2. Step 2: Convert to fraction form
    3,254.64/4,872.36 = 3,072.24/x
  3. Step 3: Cross multiply
    3,254.64x = 4,872.36 × 3,072.24
  4. Step 4: Simplify right side
    3,254.64x = 14,969,059.29
  5. Step 5: Solve for x
    x = 14,969,059.29/3,254.64
  6. Step 6: Final answer
    x = 4,599.30

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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.