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Finding the Fourth Proportional to 5,166.84, 7,753 and 3,942.12

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Solution

The fourth proportional to 5,166.84, 7,753 and 3,942.12 is: 5,915.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,166.84 : 7,753 = 3,942.12 : x
  2. Step 2: Convert to fraction form
    5,166.84/7,753 = 3,942.12/x
  3. Step 3: Cross multiply
    5,166.84x = 7,753 × 3,942.12
  4. Step 4: Simplify right side
    5,166.84x = 30,563,256.36
  5. Step 5: Solve for x
    x = 30,563,256.36/5,166.84
  6. Step 6: Final answer
    x = 5,915.27

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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.