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Finding the Fourth Proportional to 3,489.83, 4,816.19 and 2,164.42

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Solution

The fourth proportional to 3,489.83, 4,816.19 and 2,164.42 is: 2,987.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,489.83 : 4,816.19 = 2,164.42 : x
  2. Step 2: Convert to fraction form
    3,489.83/4,816.19 = 2,164.42/x
  3. Step 3: Cross multiply
    3,489.83x = 4,816.19 × 2,164.42
  4. Step 4: Simplify right side
    3,489.83x = 10,424,233.88
  5. Step 5: Solve for x
    x = 10,424,233.88/3,489.83
  6. Step 6: Final answer
    x = 2,987.03

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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.