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Finding the Fourth Proportional to 5,214.65, 7,817.21 and 2,251.24

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Solution

The fourth proportional to 5,214.65, 7,817.21 and 2,251.24 is: 3,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.65 : 7,817.21 = 2,251.24 : x
  2. Step 2: Convert to fraction form
    5,214.65/7,817.21 = 2,251.24/x
  3. Step 3: Cross multiply
    5,214.65x = 7,817.21 × 2,251.24
  4. Step 4: Simplify right side
    5,214.65x = 17,598,404.48
  5. Step 5: Solve for x
    x = 17,598,404.48/5,214.65
  6. Step 6: Final answer
    x = 3,374.80

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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.