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Finding the Fourth Proportional to 5,849.90, 8,072.90 and 3,197.35

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Solution

The fourth proportional to 5,849.90, 8,072.90 and 3,197.35 is: 4,412.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.90 : 8,072.90 = 3,197.35 : x
  2. Step 2: Convert to fraction form
    5,849.90/8,072.90 = 3,197.35/x
  3. Step 3: Cross multiply
    5,849.90x = 8,072.90 × 3,197.35
  4. Step 4: Simplify right side
    5,849.90x = 25,811,886.82
  5. Step 5: Solve for x
    x = 25,811,886.82/5,849.90
  6. Step 6: Final answer
    x = 4,412.36

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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.