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Finding the Fourth Proportional to 3,844, 5,304.36 and 2,165.13

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Solution

The fourth proportional to 3,844, 5,304.36 and 2,165.13 is: 2,987.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844 : 5,304.36 = 2,165.13 : x
  2. Step 2: Convert to fraction form
    3,844/5,304.36 = 2,165.13/x
  3. Step 3: Cross multiply
    3,844x = 5,304.36 × 2,165.13
  4. Step 4: Simplify right side
    3,844x = 11,484,628.97
  5. Step 5: Solve for x
    x = 11,484,628.97/3,844
  6. Step 6: Final answer
    x = 2,987.68

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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.