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Finding the Fourth Proportional to 3,146.65, 4,725.41 and 2,321.97

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Solution

The fourth proportional to 3,146.65, 4,725.41 and 2,321.97 is: 3,486.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,146.65 : 4,725.41 = 2,321.97 : x
  2. Step 2: Convert to fraction form
    3,146.65/4,725.41 = 2,321.97/x
  3. Step 3: Cross multiply
    3,146.65x = 4,725.41 × 2,321.97
  4. Step 4: Simplify right side
    3,146.65x = 10,972,230.93
  5. Step 5: Solve for x
    x = 10,972,230.93/3,146.65
  6. Step 6: Final answer
    x = 3,486.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.