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Finding the Fourth Proportional to 5,214.27, 7,816.14 and 3,267.84

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Solution

The fourth proportional to 5,214.27, 7,816.14 and 3,267.84 is: 4,898.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.27 : 7,816.14 = 3,267.84 : x
  2. Step 2: Convert to fraction form
    5,214.27/7,816.14 = 3,267.84/x
  3. Step 3: Cross multiply
    5,214.27x = 7,816.14 × 3,267.84
  4. Step 4: Simplify right side
    5,214.27x = 25,541,894.94
  5. Step 5: Solve for x
    x = 25,541,894.94/5,214.27
  6. Step 6: Final answer
    x = 4,898.46

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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.