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Finding the Fourth Proportional to 3,309.73, 4,565.66 and 2,050.38

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Solution

The fourth proportional to 3,309.73, 4,565.66 and 2,050.38 is: 2,828.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,309.73 : 4,565.66 = 2,050.38 : x
  2. Step 2: Convert to fraction form
    3,309.73/4,565.66 = 2,050.38/x
  3. Step 3: Cross multiply
    3,309.73x = 4,565.66 × 2,050.38
  4. Step 4: Simplify right side
    3,309.73x = 9,361,327.70
  5. Step 5: Solve for x
    x = 9,361,327.70/3,309.73
  6. Step 6: Final answer
    x = 2,828.43

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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.