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Finding the Fourth Proportional to 5,214.88, 7,823.54 and 1,517.18

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Solution

The fourth proportional to 5,214.88, 7,823.54 and 1,517.18 is: 2,276.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.88 : 7,823.54 = 1,517.18 : x
  2. Step 2: Convert to fraction form
    5,214.88/7,823.54 = 1,517.18/x
  3. Step 3: Cross multiply
    5,214.88x = 7,823.54 × 1,517.18
  4. Step 4: Simplify right side
    5,214.88x = 11,869,718.57
  5. Step 5: Solve for x
    x = 11,869,718.57/5,214.88
  6. Step 6: Final answer
    x = 2,276.12

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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.