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Finding the Fourth Proportional to 3,844.39, 5,304.15 and 2,165.21

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Solution

The fourth proportional to 3,844.39, 5,304.15 and 2,165.21 is: 2,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,844.39 : 5,304.15 = 2,165.21 : x
  2. Step 2: Convert to fraction form
    3,844.39/5,304.15 = 2,165.21/x
  3. Step 3: Cross multiply
    3,844.39x = 5,304.15 × 2,165.21
  4. Step 4: Simplify right side
    3,844.39x = 11,484,580.22
  5. Step 5: Solve for x
    x = 11,484,580.22/3,844.39
  6. Step 6: Final answer
    x = 2,987.36

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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.