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Finding the Fourth Proportional to 4,226.64, 6,338.16 and 1,304.16

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Solution

The fourth proportional to 4,226.64, 6,338.16 and 1,304.16 is: 1,955.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,226.64 : 6,338.16 = 1,304.16 : x
  2. Step 2: Convert to fraction form
    4,226.64/6,338.16 = 1,304.16/x
  3. Step 3: Cross multiply
    4,226.64x = 6,338.16 × 1,304.16
  4. Step 4: Simplify right side
    4,226.64x = 8,265,974.75
  5. Step 5: Solve for x
    x = 8,265,974.75/4,226.64
  6. Step 6: Final answer
    x = 1,955.68

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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.