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Finding the Fourth Proportional to 5,755.64, 7,944.11 and 3,366.72

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Solution

The fourth proportional to 5,755.64, 7,944.11 and 3,366.72 is: 4,646.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,755.64 : 7,944.11 = 3,366.72 : x
  2. Step 2: Convert to fraction form
    5,755.64/7,944.11 = 3,366.72/x
  3. Step 3: Cross multiply
    5,755.64x = 7,944.11 × 3,366.72
  4. Step 4: Simplify right side
    5,755.64x = 26,745,577.19
  5. Step 5: Solve for x
    x = 26,745,577.19/5,755.64
  6. Step 6: Final answer
    x = 4,646.85

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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.