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Finding the Fourth Proportional to 4,760.27, 7,141.17 and 1,639.51

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Solution

The fourth proportional to 4,760.27, 7,141.17 and 1,639.51 is: 2,459.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,760.27 : 7,141.17 = 1,639.51 : x
  2. Step 2: Convert to fraction form
    4,760.27/7,141.17 = 1,639.51/x
  3. Step 3: Cross multiply
    4,760.27x = 7,141.17 × 1,639.51
  4. Step 4: Simplify right side
    4,760.27x = 11,707,975.72
  5. Step 5: Solve for x
    x = 11,707,975.72/4,760.27
  6. Step 6: Final answer
    x = 2,459.52

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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.