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Finding the Fourth Proportional to 4,760.29, 7,128.14 and 3,284.07

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Solution

The fourth proportional to 4,760.29, 7,128.14 and 3,284.07 is: 4,917.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.29 : 7,128.14 = 3,284.07 : x
  2. Step 2: Convert to fraction form
    4,760.29/7,128.14 = 3,284.07/x
  3. Step 3: Cross multiply
    4,760.29x = 7,128.14 × 3,284.07
  4. Step 4: Simplify right side
    4,760.29x = 23,409,310.73
  5. Step 5: Solve for x
    x = 23,409,310.73/4,760.29
  6. Step 6: Final answer
    x = 4,917.62

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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.