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Finding the Fourth Proportional to 2,589.71, 3,573.42 and 1,527.49

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Solution

The fourth proportional to 2,589.71, 3,573.42 and 1,527.49 is: 2,107.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,589.71 : 3,573.42 = 1,527.49 : x
  2. Step 2: Convert to fraction form
    2,589.71/3,573.42 = 1,527.49/x
  3. Step 3: Cross multiply
    2,589.71x = 3,573.42 × 1,527.49
  4. Step 4: Simplify right side
    2,589.71x = 5,458,362.05
  5. Step 5: Solve for x
    x = 5,458,362.05/2,589.71
  6. Step 6: Final answer
    x = 2,107.72

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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.