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Finding the Fourth Proportional to 5,305.98, 7,959 and 1,608.24

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Solution

The fourth proportional to 5,305.98, 7,959 and 1,608.24 is: 2,412.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,305.98 : 7,959 = 1,608.24 : x
  2. Step 2: Convert to fraction form
    5,305.98/7,959 = 1,608.24/x
  3. Step 3: Cross multiply
    5,305.98x = 7,959 × 1,608.24
  4. Step 4: Simplify right side
    5,305.98x = 12,799,982.16
  5. Step 5: Solve for x
    x = 12,799,982.16/5,305.98
  6. Step 6: Final answer
    x = 2,412.37

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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.