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Finding the Fourth Proportional to 3,473.08, 5,198.21 and 3,140.78

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Solution

The fourth proportional to 3,473.08, 5,198.21 and 3,140.78 is: 4,700.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,473.08 : 5,198.21 = 3,140.78 : x
  2. Step 2: Convert to fraction form
    3,473.08/5,198.21 = 3,140.78/x
  3. Step 3: Cross multiply
    3,473.08x = 5,198.21 × 3,140.78
  4. Step 4: Simplify right side
    3,473.08x = 16,326,404.09
  5. Step 5: Solve for x
    x = 16,326,404.09/3,473.08
  6. Step 6: Final answer
    x = 4,700.85

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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.