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Finding the Fourth Proportional to 2,947.97, 4,430.06 and 2,755.33

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Solution

The fourth proportional to 2,947.97, 4,430.06 and 2,755.33 is: 4,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,947.97 : 4,430.06 = 2,755.33 : x
  2. Step 2: Convert to fraction form
    2,947.97/4,430.06 = 2,755.33/x
  3. Step 3: Cross multiply
    2,947.97x = 4,430.06 × 2,755.33
  4. Step 4: Simplify right side
    2,947.97x = 12,206,277.22
  5. Step 5: Solve for x
    x = 12,206,277.22/2,947.97
  6. Step 6: Final answer
    x = 4,140.57

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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.