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Finding the Fourth Proportional to 5,238.37, 7,855.60 and 2,117.37

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Solution

The fourth proportional to 5,238.37, 7,855.60 and 2,117.37 is: 3,175.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,238.37 : 7,855.60 = 2,117.37 : x
  2. Step 2: Convert to fraction form
    5,238.37/7,855.60 = 2,117.37/x
  3. Step 3: Cross multiply
    5,238.37x = 7,855.60 × 2,117.37
  4. Step 4: Simplify right side
    5,238.37x = 16,633,211.77
  5. Step 5: Solve for x
    x = 16,633,211.77/5,238.37
  6. Step 6: Final answer
    x = 3,175.26

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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.