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Finding the Fourth Proportional to 3,402.30, 5,104.65 and 3,282.30

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Solution

The fourth proportional to 3,402.30, 5,104.65 and 3,282.30 is: 4,924.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,402.30 : 5,104.65 = 3,282.30 : x
  2. Step 2: Convert to fraction form
    3,402.30/5,104.65 = 3,282.30/x
  3. Step 3: Cross multiply
    3,402.30x = 5,104.65 × 3,282.30
  4. Step 4: Simplify right side
    3,402.30x = 16,754,992.70
  5. Step 5: Solve for x
    x = 16,754,992.70/3,402.30
  6. Step 6: Final answer
    x = 4,924.61

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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.