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Finding the Fourth Proportional to 4,000.10, 5,989.35 and 3,136.10

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Solution

The fourth proportional to 4,000.10, 5,989.35 and 3,136.10 is: 4,695.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.10 : 5,989.35 = 3,136.10 : x
  2. Step 2: Convert to fraction form
    4,000.10/5,989.35 = 3,136.10/x
  3. Step 3: Cross multiply
    4,000.10x = 5,989.35 × 3,136.10
  4. Step 4: Simplify right side
    4,000.10x = 18,783,200.54
  5. Step 5: Solve for x
    x = 18,783,200.54/4,000.10
  6. Step 6: Final answer
    x = 4,695.68

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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.