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Finding the Fourth Proportional to 4,730.22, 7,092.60 and 1,609.20

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Solution

The fourth proportional to 4,730.22, 7,092.60 and 1,609.20 is: 2,412.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,730.22 : 7,092.60 = 1,609.20 : x
  2. Step 2: Convert to fraction form
    4,730.22/7,092.60 = 1,609.20/x
  3. Step 3: Cross multiply
    4,730.22x = 7,092.60 × 1,609.20
  4. Step 4: Simplify right side
    4,730.22x = 11,413,411.92
  5. Step 5: Solve for x
    x = 11,413,411.92/4,730.22
  6. Step 6: Final answer
    x = 2,412.87

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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.