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Finding the Fourth Proportional to 3,843.20, 5,303.63 and 2,164.45

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Solution

The fourth proportional to 3,843.20, 5,303.63 and 2,164.45 is: 2,986.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.20 : 5,303.63 = 2,164.45 : x
  2. Step 2: Convert to fraction form
    3,843.20/5,303.63 = 2,164.45/x
  3. Step 3: Cross multiply
    3,843.20x = 5,303.63 × 2,164.45
  4. Step 4: Simplify right side
    3,843.20x = 11,479,416.96
  5. Step 5: Solve for x
    x = 11,479,416.96/3,843.20
  6. Step 6: Final answer
    x = 2,986.94

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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.