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Finding the Fourth Proportional to 5,849.50, 8,072.30 and 3,196.93

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Solution

The fourth proportional to 5,849.50, 8,072.30 and 3,196.93 is: 4,411.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,849.50 : 8,072.30 = 3,196.93 : x
  2. Step 2: Convert to fraction form
    5,849.50/8,072.30 = 3,196.93/x
  3. Step 3: Cross multiply
    5,849.50x = 8,072.30 × 3,196.93
  4. Step 4: Simplify right side
    5,849.50x = 25,806,535.80
  5. Step 5: Solve for x
    x = 25,806,535.80/5,849.50
  6. Step 6: Final answer
    x = 4,411.75

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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.