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Finding the Fourth Proportional to 3,281.56, 4,528.53 and 1,789.47

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Solution

The fourth proportional to 3,281.56, 4,528.53 and 1,789.47 is: 2,469.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,281.56 : 4,528.53 = 1,789.47 : x
  2. Step 2: Convert to fraction form
    3,281.56/4,528.53 = 1,789.47/x
  3. Step 3: Cross multiply
    3,281.56x = 4,528.53 × 1,789.47
  4. Step 4: Simplify right side
    3,281.56x = 8,103,668.58
  5. Step 5: Solve for x
    x = 8,103,668.58/3,281.56
  6. Step 6: Final answer
    x = 2,469.46

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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.