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Finding the Fourth Proportional to 3,424.25, 4,725.42 and 1,932.65

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Solution

The fourth proportional to 3,424.25, 4,725.42 and 1,932.65 is: 2,667.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,424.25 : 4,725.42 = 1,932.65 : x
  2. Step 2: Convert to fraction form
    3,424.25/4,725.42 = 1,932.65/x
  3. Step 3: Cross multiply
    3,424.25x = 4,725.42 × 1,932.65
  4. Step 4: Simplify right side
    3,424.25x = 9,132,559.34
  5. Step 5: Solve for x
    x = 9,132,559.34/3,424.25
  6. Step 6: Final answer
    x = 2,667.03

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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.