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Finding the Fourth Proportional to 4,000.20, 6,000.30 and 3,683.40

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Solution

The fourth proportional to 4,000.20, 6,000.30 and 3,683.40 is: 5,525.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000.20 : 6,000.30 = 3,683.40 : x
  2. Step 2: Convert to fraction form
    4,000.20/6,000.30 = 3,683.40/x
  3. Step 3: Cross multiply
    4,000.20x = 6,000.30 × 3,683.40
  4. Step 4: Simplify right side
    4,000.20x = 22,101,505.02
  5. Step 5: Solve for x
    x = 22,101,505.02/4,000.20
  6. Step 6: Final answer
    x = 5,525.10

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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.