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Finding the Fourth Proportional to 5,947.65, 8,205.01 and 4,180.28

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Solution

The fourth proportional to 5,947.65, 8,205.01 and 4,180.28 is: 5,766.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,947.65 : 8,205.01 = 4,180.28 : x
  2. Step 2: Convert to fraction form
    5,947.65/8,205.01 = 4,180.28/x
  3. Step 3: Cross multiply
    5,947.65x = 8,205.01 × 4,180.28
  4. Step 4: Simplify right side
    5,947.65x = 34,299,187.73
  5. Step 5: Solve for x
    x = 34,299,187.73/5,947.65
  6. Step 6: Final answer
    x = 5,766.85

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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.