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Finding the Fourth Proportional to 6,407.44, 9,609.88 and 1,790.48

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Solution

The fourth proportional to 6,407.44, 9,609.88 and 1,790.48 is: 2,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,407.44 : 9,609.88 = 1,790.48 : x
  2. Step 2: Convert to fraction form
    6,407.44/9,609.88 = 1,790.48/x
  3. Step 3: Cross multiply
    6,407.44x = 9,609.88 × 1,790.48
  4. Step 4: Simplify right side
    6,407.44x = 17,206,297.94
  5. Step 5: Solve for x
    x = 17,206,297.94/6,407.44
  6. Step 6: Final answer
    x = 2,685.36

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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.