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Finding the Fourth Proportional to 5,305.56, 7,959.49 and 1,608.07

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Solution

The fourth proportional to 5,305.56, 7,959.49 and 1,608.07 is: 2,412.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.56 : 7,959.49 = 1,608.07 : x
  2. Step 2: Convert to fraction form
    5,305.56/7,959.49 = 1,608.07/x
  3. Step 3: Cross multiply
    5,305.56x = 7,959.49 × 1,608.07
  4. Step 4: Simplify right side
    5,305.56x = 12,799,446.19
  5. Step 5: Solve for x
    x = 12,799,446.19/5,305.56
  6. Step 6: Final answer
    x = 2,412.46

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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.