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Finding the Fourth Proportional to 3,086.34, 4,628.23 and 1,914.59

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Solution

The fourth proportional to 3,086.34, 4,628.23 and 1,914.59 is: 2,871.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,086.34 : 4,628.23 = 1,914.59 : x
  2. Step 2: Convert to fraction form
    3,086.34/4,628.23 = 1,914.59/x
  3. Step 3: Cross multiply
    3,086.34x = 4,628.23 × 1,914.59
  4. Step 4: Simplify right side
    3,086.34x = 8,861,143.63
  5. Step 5: Solve for x
    x = 8,861,143.63/3,086.34
  6. Step 6: Final answer
    x = 2,871.08

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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.