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Finding the Fourth Proportional to 3,072.68, 4,599.90 and 3,072.68

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Solution

The fourth proportional to 3,072.68, 4,599.90 and 3,072.68 is: 4,599.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,072.68 : 4,599.90 = 3,072.68 : x
  2. Step 2: Convert to fraction form
    3,072.68/4,599.90 = 3,072.68/x
  3. Step 3: Cross multiply
    3,072.68x = 4,599.90 × 3,072.68
  4. Step 4: Simplify right side
    3,072.68x = 14,133,997.73
  5. Step 5: Solve for x
    x = 14,133,997.73/3,072.68
  6. Step 6: Final answer
    x = 4,599.90

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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.