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Finding the Fourth Proportional to 5,252.37, 7,883.53 and 3,861.47

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Solution

The fourth proportional to 5,252.37, 7,883.53 and 3,861.47 is: 5,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,252.37 : 7,883.53 = 3,861.47 : x
  2. Step 2: Convert to fraction form
    5,252.37/7,883.53 = 3,861.47/x
  3. Step 3: Cross multiply
    5,252.37x = 7,883.53 × 3,861.47
  4. Step 4: Simplify right side
    5,252.37x = 30,442,024.64
  5. Step 5: Solve for x
    x = 30,442,024.64/5,252.37
  6. Step 6: Final answer
    x = 5,795.87

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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.