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Finding the Fourth Proportional to 3,463.44, 5,198.61 and 1,615.86

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Solution

The fourth proportional to 3,463.44, 5,198.61 and 1,615.86 is: 2,425.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,463.44 : 5,198.61 = 1,615.86 : x
  2. Step 2: Convert to fraction form
    3,463.44/5,198.61 = 1,615.86/x
  3. Step 3: Cross multiply
    3,463.44x = 5,198.61 × 1,615.86
  4. Step 4: Simplify right side
    3,463.44x = 8,400,225.95
  5. Step 5: Solve for x
    x = 8,400,225.95/3,463.44
  6. Step 6: Final answer
    x = 2,425.40

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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.