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Finding the Fourth Proportional to 3,890.68, 5,364.30 and 3,141.88

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Solution

The fourth proportional to 3,890.68, 5,364.30 and 3,141.88 is: 4,331.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,890.68 : 5,364.30 = 3,141.88 : x
  2. Step 2: Convert to fraction form
    3,890.68/5,364.30 = 3,141.88/x
  3. Step 3: Cross multiply
    3,890.68x = 5,364.30 × 3,141.88
  4. Step 4: Simplify right side
    3,890.68x = 16,853,986.88
  5. Step 5: Solve for x
    x = 16,853,986.88/3,890.68
  6. Step 6: Final answer
    x = 4,331.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.