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Finding the Fourth Proportional to 5,214.58, 7,821.98 and 1,517.18

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Solution

The fourth proportional to 5,214.58, 7,821.98 and 1,517.18 is: 2,275.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.58 : 7,821.98 = 1,517.18 : x
  2. Step 2: Convert to fraction form
    5,214.58/7,821.98 = 1,517.18/x
  3. Step 3: Cross multiply
    5,214.58x = 7,821.98 × 1,517.18
  4. Step 4: Simplify right side
    5,214.58x = 11,867,351.62
  5. Step 5: Solve for x
    x = 11,867,351.62/5,214.58
  6. Step 6: Final answer
    x = 2,275.80

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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.