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Finding the Fourth Proportional to 3,086.73, 4,630.64 and 1,138.95

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Solution

The fourth proportional to 3,086.73, 4,630.64 and 1,138.95 is: 1,708.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.73 : 4,630.64 = 1,138.95 : x
  2. Step 2: Convert to fraction form
    3,086.73/4,630.64 = 1,138.95/x
  3. Step 3: Cross multiply
    3,086.73x = 4,630.64 × 1,138.95
  4. Step 4: Simplify right side
    3,086.73x = 5,274,061.73
  5. Step 5: Solve for x
    x = 5,274,061.73/3,086.73
  6. Step 6: Final answer
    x = 1,708.62

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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.