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Finding the Fourth Proportional to 3,281.57, 4,528.43 and 1,789.46

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Solution

The fourth proportional to 3,281.57, 4,528.43 and 1,789.46 is: 2,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.57 : 4,528.43 = 1,789.46 : x
  2. Step 2: Convert to fraction form
    3,281.57/4,528.43 = 1,789.46/x
  3. Step 3: Cross multiply
    3,281.57x = 4,528.43 × 1,789.46
  4. Step 4: Simplify right side
    3,281.57x = 8,103,444.35
  5. Step 5: Solve for x
    x = 8,103,444.35/3,281.57
  6. Step 6: Final answer
    x = 2,469.38

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Why These Related Problems?

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