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Finding the Fourth Proportional to 3,392.01, 5,084.96 and 1,310.69

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Solution

The fourth proportional to 3,392.01, 5,084.96 and 1,310.69 is: 1,964.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.01 : 5,084.96 = 1,310.69 : x
  2. Step 2: Convert to fraction form
    3,392.01/5,084.96 = 1,310.69/x
  3. Step 3: Cross multiply
    3,392.01x = 5,084.96 × 1,310.69
  4. Step 4: Simplify right side
    3,392.01x = 6,664,812.38
  5. Step 5: Solve for x
    x = 6,664,812.38/3,392.01
  6. Step 6: Final answer
    x = 1,964.86

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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.