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Finding the Fourth Proportional to 3,725.39, 5,141.67 and 2,154.44

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Solution

The fourth proportional to 3,725.39, 5,141.67 and 2,154.44 is: 2,973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.39 : 5,141.67 = 2,154.44 : x
  2. Step 2: Convert to fraction form
    3,725.39/5,141.67 = 2,154.44/x
  3. Step 3: Cross multiply
    3,725.39x = 5,141.67 × 2,154.44
  4. Step 4: Simplify right side
    3,725.39x = 11,077,419.51
  5. Step 5: Solve for x
    x = 11,077,419.51/3,725.39
  6. Step 6: Final answer
    x = 2,973.49

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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.