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Finding the Fourth Proportional to 5,927.67, 8,180.43 and 3,409.78

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Solution

The fourth proportional to 5,927.67, 8,180.43 and 3,409.78 is: 4,705.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,927.67 : 8,180.43 = 3,409.78 : x
  2. Step 2: Convert to fraction form
    5,927.67/8,180.43 = 3,409.78/x
  3. Step 3: Cross multiply
    5,927.67x = 8,180.43 × 3,409.78
  4. Step 4: Simplify right side
    5,927.67x = 27,893,466.61
  5. Step 5: Solve for x
    x = 27,893,466.61/5,927.67
  6. Step 6: Final answer
    x = 4,705.64

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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.