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Finding the Fourth Proportional to 5,236.25, 7,857.41 and 3,999.98

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Solution

The fourth proportional to 5,236.25, 7,857.41 and 3,999.98 is: 6,002.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,236.25 : 7,857.41 = 3,999.98 : x
  2. Step 2: Convert to fraction form
    5,236.25/7,857.41 = 3,999.98/x
  3. Step 3: Cross multiply
    5,236.25x = 7,857.41 × 3,999.98
  4. Step 4: Simplify right side
    5,236.25x = 31,429,482.50
  5. Step 5: Solve for x
    x = 31,429,482.50/5,236.25
  6. Step 6: Final answer
    x = 6,002.29

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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.