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Finding the Fourth Proportional to 5,219.98, 7,827.66 and 3,753

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Solution

The fourth proportional to 5,219.98, 7,827.66 and 3,753 is: 5,627.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.98 : 7,827.66 = 3,753 : x
  2. Step 2: Convert to fraction form
    5,219.98/7,827.66 = 3,753/x
  3. Step 3: Cross multiply
    5,219.98x = 7,827.66 × 3,753
  4. Step 4: Simplify right side
    5,219.98x = 29,377,207.98
  5. Step 5: Solve for x
    x = 29,377,207.98/5,219.98
  6. Step 6: Final answer
    x = 5,627.84

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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.