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Finding the Fourth Proportional to 5,378.99, 8,049.64 and 4,110.31

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Solution

The fourth proportional to 5,378.99, 8,049.64 and 4,110.31 is: 6,151.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.99 : 8,049.64 = 4,110.31 : x
  2. Step 2: Convert to fraction form
    5,378.99/8,049.64 = 4,110.31/x
  3. Step 3: Cross multiply
    5,378.99x = 8,049.64 × 4,110.31
  4. Step 4: Simplify right side
    5,378.99x = 33,086,495.10
  5. Step 5: Solve for x
    x = 33,086,495.10/5,378.99
  6. Step 6: Final answer
    x = 6,151.06

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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.