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Finding the Fourth Proportional to 3,083.94, 4,635.63 and 2,678.13

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Solution

The fourth proportional to 3,083.94, 4,635.63 and 2,678.13 is: 4,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.94 : 4,635.63 = 2,678.13 : x
  2. Step 2: Convert to fraction form
    3,083.94/4,635.63 = 2,678.13/x
  3. Step 3: Cross multiply
    3,083.94x = 4,635.63 × 2,678.13
  4. Step 4: Simplify right side
    3,083.94x = 12,414,819.77
  5. Step 5: Solve for x
    x = 12,414,819.77/3,083.94
  6. Step 6: Final answer
    x = 4,025.64

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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.