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Finding the Fourth Proportional to 5,638.90, 8,446.20 and 3,670.60

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Solution

The fourth proportional to 5,638.90, 8,446.20 and 3,670.60 is: 5,497.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.90 : 8,446.20 = 3,670.60 : x
  2. Step 2: Convert to fraction form
    5,638.90/8,446.20 = 3,670.60/x
  3. Step 3: Cross multiply
    5,638.90x = 8,446.20 × 3,670.60
  4. Step 4: Simplify right side
    5,638.90x = 31,002,621.72
  5. Step 5: Solve for x
    x = 31,002,621.72/5,638.90
  6. Step 6: Final answer
    x = 5,497.99

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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.