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Finding the Fourth Proportional to 5,234.18, 7,852.46 and 3,753.99

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Solution

The fourth proportional to 5,234.18, 7,852.46 and 3,753.99 is: 5,631.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,234.18 : 7,852.46 = 3,753.99 : x
  2. Step 2: Convert to fraction form
    5,234.18/7,852.46 = 3,753.99/x
  3. Step 3: Cross multiply
    5,234.18x = 7,852.46 × 3,753.99
  4. Step 4: Simplify right side
    5,234.18x = 29,478,037.55
  5. Step 5: Solve for x
    x = 29,478,037.55/5,234.18
  6. Step 6: Final answer
    x = 5,631.84

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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.