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Finding the Fourth Proportional to 5,605.44, 7,734.24 and 3,366.72

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Solution

The fourth proportional to 5,605.44, 7,734.24 and 3,366.72 is: 4,645.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,605.44 : 7,734.24 = 3,366.72 : x
  2. Step 2: Convert to fraction form
    5,605.44/7,734.24 = 3,366.72/x
  3. Step 3: Cross multiply
    5,605.44x = 7,734.24 × 3,366.72
  4. Step 4: Simplify right side
    5,605.44x = 26,039,020.49
  5. Step 5: Solve for x
    x = 26,039,020.49/5,605.44
  6. Step 6: Final answer
    x = 4,645.31

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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.