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Finding the Fourth Proportional to 3,912.39, 5,870.66 and 1,722.65

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Solution

The fourth proportional to 3,912.39, 5,870.66 and 1,722.65 is: 2,584.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.39 : 5,870.66 = 1,722.65 : x
  2. Step 2: Convert to fraction form
    3,912.39/5,870.66 = 1,722.65/x
  3. Step 3: Cross multiply
    3,912.39x = 5,870.66 × 1,722.65
  4. Step 4: Simplify right side
    3,912.39x = 10,113,054.48
  5. Step 5: Solve for x
    x = 10,113,054.48/3,912.39
  6. Step 6: Final answer
    x = 2,584.88

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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.