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Finding the Fourth Proportional to 3,843.06, 5,303.41 and 2,164.47

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Solution

The fourth proportional to 3,843.06, 5,303.41 and 2,164.47 is: 2,986.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.06 : 5,303.41 = 2,164.47 : x
  2. Step 2: Convert to fraction form
    3,843.06/5,303.41 = 2,164.47/x
  3. Step 3: Cross multiply
    3,843.06x = 5,303.41 × 2,164.47
  4. Step 4: Simplify right side
    3,843.06x = 11,479,071.84
  5. Step 5: Solve for x
    x = 11,479,071.84/3,843.06
  6. Step 6: Final answer
    x = 2,986.96

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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.