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Finding the Fourth Proportional to 3,809.19, 5,693.52 and 3,311.58

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Solution

The fourth proportional to 3,809.19, 5,693.52 and 3,311.58 is: 4,949.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.19 : 5,693.52 = 3,311.58 : x
  2. Step 2: Convert to fraction form
    3,809.19/5,693.52 = 3,311.58/x
  3. Step 3: Cross multiply
    3,809.19x = 5,693.52 × 3,311.58
  4. Step 4: Simplify right side
    3,809.19x = 18,854,546.96
  5. Step 5: Solve for x
    x = 18,854,546.96/3,809.19
  6. Step 6: Final answer
    x = 4,949.75

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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.