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Finding the Fourth Proportional to 3,288.82, 4,909.23 and 2,873.62

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Solution

The fourth proportional to 3,288.82, 4,909.23 and 2,873.62 is: 4,289.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,288.82 : 4,909.23 = 2,873.62 : x
  2. Step 2: Convert to fraction form
    3,288.82/4,909.23 = 2,873.62/x
  3. Step 3: Cross multiply
    3,288.82x = 4,909.23 × 2,873.62
  4. Step 4: Simplify right side
    3,288.82x = 14,107,291.56
  5. Step 5: Solve for x
    x = 14,107,291.56/3,288.82
  6. Step 6: Final answer
    x = 4,289.47

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.