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Finding the Fourth Proportional to 5,305.82, 7,322.26 and 2,947.94

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Solution

The fourth proportional to 5,305.82, 7,322.26 and 2,947.94 is: 4,068.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.82 : 7,322.26 = 2,947.94 : x
  2. Step 2: Convert to fraction form
    5,305.82/7,322.26 = 2,947.94/x
  3. Step 3: Cross multiply
    5,305.82x = 7,322.26 × 2,947.94
  4. Step 4: Simplify right side
    5,305.82x = 21,585,583.14
  5. Step 5: Solve for x
    x = 21,585,583.14/5,305.82
  6. Step 6: Final answer
    x = 4,068.28

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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.