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Finding the Fourth Proportional to 3,272.88, 4,907 and 1,540.56

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Solution

The fourth proportional to 3,272.88, 4,907 and 1,540.56 is: 2,309.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,272.88 : 4,907 = 1,540.56 : x
  2. Step 2: Convert to fraction form
    3,272.88/4,907 = 1,540.56/x
  3. Step 3: Cross multiply
    3,272.88x = 4,907 × 1,540.56
  4. Step 4: Simplify right side
    3,272.88x = 7,559,527.92
  5. Step 5: Solve for x
    x = 7,559,527.92/3,272.88
  6. Step 6: Final answer
    x = 2,309.75

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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.