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Finding the Fourth Proportional to 4,730.71, 7,092.81 and 1,609.24

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Solution

The fourth proportional to 4,730.71, 7,092.81 and 1,609.24 is: 2,412.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.71 : 7,092.81 = 1,609.24 : x
  2. Step 2: Convert to fraction form
    4,730.71/7,092.81 = 1,609.24/x
  3. Step 3: Cross multiply
    4,730.71x = 7,092.81 × 1,609.24
  4. Step 4: Simplify right side
    4,730.71x = 11,414,033.56
  5. Step 5: Solve for x
    x = 11,414,033.56/4,730.71
  6. Step 6: Final answer
    x = 2,412.75

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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.