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Finding the Fourth Proportional to 3,725.92, 5,142.56 and 2,154.08

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Solution

The fourth proportional to 3,725.92, 5,142.56 and 2,154.08 is: 2,973.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.92 : 5,142.56 = 2,154.08 : x
  2. Step 2: Convert to fraction form
    3,725.92/5,142.56 = 2,154.08/x
  3. Step 3: Cross multiply
    3,725.92x = 5,142.56 × 2,154.08
  4. Step 4: Simplify right side
    3,725.92x = 11,077,485.64
  5. Step 5: Solve for x
    x = 11,077,485.64/3,725.92
  6. Step 6: Final answer
    x = 2,973.09

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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.