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Finding the Fourth Proportional to 4,225.40, 6,338.10 and 4,014.20

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Solution

The fourth proportional to 4,225.40, 6,338.10 and 4,014.20 is: 6,021.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,225.40 : 6,338.10 = 4,014.20 : x
  2. Step 2: Convert to fraction form
    4,225.40/6,338.10 = 4,014.20/x
  3. Step 3: Cross multiply
    4,225.40x = 6,338.10 × 4,014.20
  4. Step 4: Simplify right side
    4,225.40x = 25,442,401.02
  5. Step 5: Solve for x
    x = 25,442,401.02/4,225.40
  6. Step 6: Final answer
    x = 6,021.30

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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.