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Finding the Fourth Proportional to 5,257.09, 7,855.12 and 3,982.15

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Solution

The fourth proportional to 5,257.09, 7,855.12 and 3,982.15 is: 5,950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,257.09 : 7,855.12 = 3,982.15 : x
  2. Step 2: Convert to fraction form
    5,257.09/7,855.12 = 3,982.15/x
  3. Step 3: Cross multiply
    5,257.09x = 7,855.12 × 3,982.15
  4. Step 4: Simplify right side
    5,257.09x = 31,280,266.11
  5. Step 5: Solve for x
    x = 31,280,266.11/5,257.09
  6. Step 6: Final answer
    x = 5,950.11

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.