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Finding the Fourth Proportional to 3,409, 5,110.45 and 1,217.41

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Solution

The fourth proportional to 3,409, 5,110.45 and 1,217.41 is: 1,825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409 : 5,110.45 = 1,217.41 : x
  2. Step 2: Convert to fraction form
    3,409/5,110.45 = 1,217.41/x
  3. Step 3: Cross multiply
    3,409x = 5,110.45 × 1,217.41
  4. Step 4: Simplify right side
    3,409x = 6,221,512.93
  5. Step 5: Solve for x
    x = 6,221,512.93/3,409
  6. Step 6: Final answer
    x = 1,825.03

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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.