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Finding the Fourth Proportional to 3,725.42, 5,141.31 and 2,069.42

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Solution

The fourth proportional to 3,725.42, 5,141.31 and 2,069.42 is: 2,855.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,725.42 : 5,141.31 = 2,069.42 : x
  2. Step 2: Convert to fraction form
    3,725.42/5,141.31 = 2,069.42/x
  3. Step 3: Cross multiply
    3,725.42x = 5,141.31 × 2,069.42
  4. Step 4: Simplify right side
    3,725.42x = 10,639,529.74
  5. Step 5: Solve for x
    x = 10,639,529.74/3,725.42
  6. Step 6: Final answer
    x = 2,855.93

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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.