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Finding the Fourth Proportional to 5,217.66, 7,821.09 and 3,915.18

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Solution

The fourth proportional to 5,217.66, 7,821.09 and 3,915.18 is: 5,868.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,217.66 : 7,821.09 = 3,915.18 : x
  2. Step 2: Convert to fraction form
    5,217.66/7,821.09 = 3,915.18/x
  3. Step 3: Cross multiply
    5,217.66x = 7,821.09 × 3,915.18
  4. Step 4: Simplify right side
    5,217.66x = 30,620,975.15
  5. Step 5: Solve for x
    x = 30,620,975.15/5,217.66
  6. Step 6: Final answer
    x = 5,868.72

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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.