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Finding the Fourth Proportional to 3,944.64, 5,443.50 and 2,152.17

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Solution

The fourth proportional to 3,944.64, 5,443.50 and 2,152.17 is: 2,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,944.64 : 5,443.50 = 2,152.17 : x
  2. Step 2: Convert to fraction form
    3,944.64/5,443.50 = 2,152.17/x
  3. Step 3: Cross multiply
    3,944.64x = 5,443.50 × 2,152.17
  4. Step 4: Simplify right side
    3,944.64x = 11,715,337.40
  5. Step 5: Solve for x
    x = 11,715,337.40/3,944.64
  6. Step 6: Final answer
    x = 2,969.94

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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.