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Finding the Fourth Proportional to 5,198.01, 7,783.71 and 3,437.62

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Solution

The fourth proportional to 5,198.01, 7,783.71 and 3,437.62 is: 5,147.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.01 : 7,783.71 = 3,437.62 : x
  2. Step 2: Convert to fraction form
    5,198.01/7,783.71 = 3,437.62/x
  3. Step 3: Cross multiply
    5,198.01x = 7,783.71 × 3,437.62
  4. Step 4: Simplify right side
    5,198.01x = 26,757,404.82
  5. Step 5: Solve for x
    x = 26,757,404.82/5,198.01
  6. Step 6: Final answer
    x = 5,147.63

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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.