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Finding the Fourth Proportional to 3,991.06, 5,987 and 1,527.95

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Solution

The fourth proportional to 3,991.06, 5,987 and 1,527.95 is: 2,292.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,991.06 : 5,987 = 1,527.95 : x
  2. Step 2: Convert to fraction form
    3,991.06/5,987 = 1,527.95/x
  3. Step 3: Cross multiply
    3,991.06x = 5,987 × 1,527.95
  4. Step 4: Simplify right side
    3,991.06x = 9,147,836.65
  5. Step 5: Solve for x
    x = 9,147,836.65/3,991.06
  6. Step 6: Final answer
    x = 2,292.08

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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.