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Finding the Fourth Proportional to 4,394.28, 6,591.42 and 2,569

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Solution

The fourth proportional to 4,394.28, 6,591.42 and 2,569 is: 3,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,394.28 : 6,591.42 = 2,569 : x
  2. Step 2: Convert to fraction form
    4,394.28/6,591.42 = 2,569/x
  3. Step 3: Cross multiply
    4,394.28x = 6,591.42 × 2,569
  4. Step 4: Simplify right side
    4,394.28x = 16,933,357.98
  5. Step 5: Solve for x
    x = 16,933,357.98/4,394.28
  6. Step 6: Final answer
    x = 3,853.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.