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Finding the Fourth Proportional to 3,056.28, 4,584.14 and 864.96

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Solution

The fourth proportional to 3,056.28, 4,584.14 and 864.96 is: 1,297.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,056.28 : 4,584.14 = 864.96 : x
  2. Step 2: Convert to fraction form
    3,056.28/4,584.14 = 864.96/x
  3. Step 3: Cross multiply
    3,056.28x = 4,584.14 × 864.96
  4. Step 4: Simplify right side
    3,056.28x = 3,965,097.73
  5. Step 5: Solve for x
    x = 3,965,097.73/3,056.28
  6. Step 6: Final answer
    x = 1,297.36

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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.