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Finding the Fourth Proportional to 5,652.90, 8,474.22 and 2,142.24

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Solution

The fourth proportional to 5,652.90, 8,474.22 and 2,142.24 is: 3,211.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.90 : 8,474.22 = 2,142.24 : x
  2. Step 2: Convert to fraction form
    5,652.90/8,474.22 = 2,142.24/x
  3. Step 3: Cross multiply
    5,652.90x = 8,474.22 × 2,142.24
  4. Step 4: Simplify right side
    5,652.90x = 18,153,813.05
  5. Step 5: Solve for x
    x = 18,153,813.05/5,652.90
  6. Step 6: Final answer
    x = 3,211.42

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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.