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Finding the Fourth Proportional to 5,949.53, 8,216.40 and 4,944.86

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Solution

The fourth proportional to 5,949.53, 8,216.40 and 4,944.86 is: 6,828.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,949.53 : 8,216.40 = 4,944.86 : x
  2. Step 2: Convert to fraction form
    5,949.53/8,216.40 = 4,944.86/x
  3. Step 3: Cross multiply
    5,949.53x = 8,216.40 × 4,944.86
  4. Step 4: Simplify right side
    5,949.53x = 40,628,947.70
  5. Step 5: Solve for x
    x = 40,628,947.70/5,949.53
  6. Step 6: Final answer
    x = 6,828.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.