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Finding the Fourth Proportional to 3,211.40, 4,817.10 and 3,000.20

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Solution

The fourth proportional to 3,211.40, 4,817.10 and 3,000.20 is: 4,500.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211.40 : 4,817.10 = 3,000.20 : x
  2. Step 2: Convert to fraction form
    3,211.40/4,817.10 = 3,000.20/x
  3. Step 3: Cross multiply
    3,211.40x = 4,817.10 × 3,000.20
  4. Step 4: Simplify right side
    3,211.40x = 14,452,263.42
  5. Step 5: Solve for x
    x = 14,452,263.42/3,211.40
  6. Step 6: Final answer
    x = 4,500.30

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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.