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Finding the Fourth Proportional to 5,679.46, 7,837.74 and 3,161.60

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Solution

The fourth proportional to 5,679.46, 7,837.74 and 3,161.60 is: 4,363.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,679.46 : 7,837.74 = 3,161.60 : x
  2. Step 2: Convert to fraction form
    5,679.46/7,837.74 = 3,161.60/x
  3. Step 3: Cross multiply
    5,679.46x = 7,837.74 × 3,161.60
  4. Step 4: Simplify right side
    5,679.46x = 24,779,759.60
  5. Step 5: Solve for x
    x = 24,779,759.60/5,679.46
  6. Step 6: Final answer
    x = 4,363.05

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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.