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Finding the Fourth Proportional to 4,652.56, 6,976.50 and 1,532.44

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Solution

The fourth proportional to 4,652.56, 6,976.50 and 1,532.44 is: 2,297.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,652.56 : 6,976.50 = 1,532.44 : x
  2. Step 2: Convert to fraction form
    4,652.56/6,976.50 = 1,532.44/x
  3. Step 3: Cross multiply
    4,652.56x = 6,976.50 × 1,532.44
  4. Step 4: Simplify right side
    4,652.56x = 10,691,067.66
  5. Step 5: Solve for x
    x = 10,691,067.66/4,652.56
  6. Step 6: Final answer
    x = 2,297.89

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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.