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Finding the Fourth Proportional to 5,811, 8,702.52 and 3,724.53

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Solution

The fourth proportional to 5,811, 8,702.52 and 3,724.53 is: 5,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,811 : 8,702.52 = 3,724.53 : x
  2. Step 2: Convert to fraction form
    5,811/8,702.52 = 3,724.53/x
  3. Step 3: Cross multiply
    5,811x = 8,702.52 × 3,724.53
  4. Step 4: Simplify right side
    5,811x = 32,412,796.82
  5. Step 5: Solve for x
    x = 32,412,796.82/5,811
  6. Step 6: Final answer
    x = 5,577.83

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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.