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Finding the Fourth Proportional to 3,231.52, 4,842.24 and 2,582.08

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Solution

The fourth proportional to 3,231.52, 4,842.24 and 2,582.08 is: 3,869.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231.52 : 4,842.24 = 2,582.08 : x
  2. Step 2: Convert to fraction form
    3,231.52/4,842.24 = 2,582.08/x
  3. Step 3: Cross multiply
    3,231.52x = 4,842.24 × 2,582.08
  4. Step 4: Simplify right side
    3,231.52x = 12,503,051.06
  5. Step 5: Solve for x
    x = 12,503,051.06/3,231.52
  6. Step 6: Final answer
    x = 3,869.09

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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.