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Finding the Fourth Proportional to 5,378.92, 8,028.25 and 5,247.68

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Solution

The fourth proportional to 5,378.92, 8,028.25 and 5,247.68 is: 7,832.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,378.92 : 8,028.25 = 5,247.68 : x
  2. Step 2: Convert to fraction form
    5,378.92/8,028.25 = 5,247.68/x
  3. Step 3: Cross multiply
    5,378.92x = 8,028.25 × 5,247.68
  4. Step 4: Simplify right side
    5,378.92x = 42,129,686.96
  5. Step 5: Solve for x
    x = 42,129,686.96/5,378.92
  6. Step 6: Final answer
    x = 7,832.37

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.