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Finding the Fourth Proportional to 4,226.60, 5,930.20 and 4,226.60

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Solution

The fourth proportional to 4,226.60, 5,930.20 and 4,226.60 is: 5,930.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.60 : 5,930.20 = 4,226.60 : x
  2. Step 2: Convert to fraction form
    4,226.60/5,930.20 = 4,226.60/x
  3. Step 3: Cross multiply
    4,226.60x = 5,930.20 × 4,226.60
  4. Step 4: Simplify right side
    4,226.60x = 25,064,583.32
  5. Step 5: Solve for x
    x = 25,064,583.32/4,226.60
  6. Step 6: Final answer
    x = 5,930.20

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.