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Finding the Fourth Proportional to 3,406.22, 4,698.19 and 3,291.92

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Solution

The fourth proportional to 3,406.22, 4,698.19 and 3,291.92 is: 4,540.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.22 : 4,698.19 = 3,291.92 : x
  2. Step 2: Convert to fraction form
    3,406.22/4,698.19 = 3,291.92/x
  3. Step 3: Cross multiply
    3,406.22x = 4,698.19 × 3,291.92
  4. Step 4: Simplify right side
    3,406.22x = 15,466,065.62
  5. Step 5: Solve for x
    x = 15,466,065.62/3,406.22
  6. Step 6: Final answer
    x = 4,540.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.