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Finding the Fourth Proportional to 5,236.93, 7,855.38 and 3,290.50

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Solution

The fourth proportional to 5,236.93, 7,855.38 and 3,290.50 is: 4,935.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.93 : 7,855.38 = 3,290.50 : x
  2. Step 2: Convert to fraction form
    5,236.93/7,855.38 = 3,290.50/x
  3. Step 3: Cross multiply
    5,236.93x = 7,855.38 × 3,290.50
  4. Step 4: Simplify right side
    5,236.93x = 25,848,127.89
  5. Step 5: Solve for x
    x = 25,848,127.89/5,236.93
  6. Step 6: Final answer
    x = 4,935.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.