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Finding the Fourth Proportional to 3,843.25, 5,303.69 and 2,187.25

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Solution

The fourth proportional to 3,843.25, 5,303.69 and 2,187.25 is: 3,018.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,843.25 : 5,303.69 = 2,187.25 : x
  2. Step 2: Convert to fraction form
    3,843.25/5,303.69 = 2,187.25/x
  3. Step 3: Cross multiply
    3,843.25x = 5,303.69 × 2,187.25
  4. Step 4: Simplify right side
    3,843.25x = 11,600,485.02
  5. Step 5: Solve for x
    x = 11,600,485.02/3,843.25
  6. Step 6: Final answer
    x = 3,018.41

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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.