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Finding the Fourth Proportional to 4,214.60, 6,311.10 and 4,020.20

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Solution

The fourth proportional to 4,214.60, 6,311.10 and 4,020.20 is: 6,020.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,214.60 : 6,311.10 = 4,020.20 : x
  2. Step 2: Convert to fraction form
    4,214.60/6,311.10 = 4,020.20/x
  3. Step 3: Cross multiply
    4,214.60x = 6,311.10 × 4,020.20
  4. Step 4: Simplify right side
    4,214.60x = 25,371,884.22
  5. Step 5: Solve for x
    x = 25,371,884.22/4,214.60
  6. Step 6: Final answer
    x = 6,020.00

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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.