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Finding the Fourth Proportional to 3,947.82, 5,914.98 and 2,300.28

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Solution

The fourth proportional to 3,947.82, 5,914.98 and 2,300.28 is: 3,446.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.82 : 5,914.98 = 2,300.28 : x
  2. Step 2: Convert to fraction form
    3,947.82/5,914.98 = 2,300.28/x
  3. Step 3: Cross multiply
    3,947.82x = 5,914.98 × 2,300.28
  4. Step 4: Simplify right side
    3,947.82x = 13,606,110.19
  5. Step 5: Solve for x
    x = 13,606,110.19/3,947.82
  6. Step 6: Final answer
    x = 3,446.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.