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Finding the Fourth Proportional to 5,754.64, 7,944.07 and 4,338.90

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Solution

The fourth proportional to 5,754.64, 7,944.07 and 4,338.90 is: 5,989.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,754.64 : 7,944.07 = 4,338.90 : x
  2. Step 2: Convert to fraction form
    5,754.64/7,944.07 = 4,338.90/x
  3. Step 3: Cross multiply
    5,754.64x = 7,944.07 × 4,338.90
  4. Step 4: Simplify right side
    5,754.64x = 34,468,485.60
  5. Step 5: Solve for x
    x = 34,468,485.60/5,754.64
  6. Step 6: Final answer
    x = 5,989.69

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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.