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Finding the Fourth Proportional to 4,226.84, 6,338.10 and 2,253.60

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Solution

The fourth proportional to 4,226.84, 6,338.10 and 2,253.60 is: 3,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.84 : 6,338.10 = 2,253.60 : x
  2. Step 2: Convert to fraction form
    4,226.84/6,338.10 = 2,253.60/x
  3. Step 3: Cross multiply
    4,226.84x = 6,338.10 × 2,253.60
  4. Step 4: Simplify right side
    4,226.84x = 14,283,542.16
  5. Step 5: Solve for x
    x = 14,283,542.16/4,226.84
  6. Step 6: Final answer
    x = 3,379.25

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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.