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Finding the Fourth Proportional to 3,304.26, 4,958.28 and 2,564.46

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Solution

The fourth proportional to 3,304.26, 4,958.28 and 2,564.46 is: 3,848.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,304.26 : 4,958.28 = 2,564.46 : x
  2. Step 2: Convert to fraction form
    3,304.26/4,958.28 = 2,564.46/x
  3. Step 3: Cross multiply
    3,304.26x = 4,958.28 × 2,564.46
  4. Step 4: Simplify right side
    3,304.26x = 12,715,310.73
  5. Step 5: Solve for x
    x = 12,715,310.73/3,304.26
  6. Step 6: Final answer
    x = 3,848.16

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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.