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Finding the Fourth Proportional to 3,282, 4,924.80 and 3,257.52

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Solution

The fourth proportional to 3,282, 4,924.80 and 3,257.52 is: 4,888.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282 : 4,924.80 = 3,257.52 : x
  2. Step 2: Convert to fraction form
    3,282/4,924.80 = 3,257.52/x
  3. Step 3: Cross multiply
    3,282x = 4,924.80 × 3,257.52
  4. Step 4: Simplify right side
    3,282x = 16,042,634.50
  5. Step 5: Solve for x
    x = 16,042,634.50/3,282
  6. Step 6: Final answer
    x = 4,888.07

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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.