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Finding the Fourth Proportional to 3,843.16, 5,303.82 and 3,320.44

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Solution

The fourth proportional to 3,843.16, 5,303.82 and 3,320.44 is: 4,582.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.16 : 5,303.82 = 3,320.44 : x
  2. Step 2: Convert to fraction form
    3,843.16/5,303.82 = 3,320.44/x
  3. Step 3: Cross multiply
    3,843.16x = 5,303.82 × 3,320.44
  4. Step 4: Simplify right side
    3,843.16x = 17,611,016.08
  5. Step 5: Solve for x
    x = 17,611,016.08/3,843.16
  6. Step 6: Final answer
    x = 4,582.43

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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.